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Finding the Fourth Proportional to 410.76, 566.70 and 286.20

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Solution

The fourth proportional to 410.76, 566.70 and 286.20 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 566.70 = 286.20 : x
  2. Step 2: Convert to fraction form
    410.76/566.70 = 286.20/x
  3. Step 3: Cross multiply
    410.76x = 566.70 × 286.20
  4. Step 4: Simplify right side
    410.76x = 162,189.54
  5. Step 5: Solve for x
    x = 162,189.54/410.76
  6. Step 6: Final answer
    x = 394.85

Related Problems

Find fourth proportional to 205.38, 283.35 and 143.10
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Double scale
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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.