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Finding the Fourth Proportional to 472.76, 652.24 and 286.30

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Solution

The fourth proportional to 472.76, 652.24 and 286.30 is: 394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.76 : 652.24 = 286.30 : x
  2. Step 2: Convert to fraction form
    472.76/652.24 = 286.30/x
  3. Step 3: Cross multiply
    472.76x = 652.24 × 286.30
  4. Step 4: Simplify right side
    472.76x = 186,736.31
  5. Step 5: Solve for x
    x = 186,736.31/472.76
  6. Step 6: Final answer
    x = 394.99

Related Problems

Find fourth proportional to 236.38, 326.12 and 143.15
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.