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Finding the Fourth Proportional to 343.24, 474.87 and 329.74

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Solution

The fourth proportional to 343.24, 474.87 and 329.74 is: 456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 474.87 = 329.74 : x
  2. Step 2: Convert to fraction form
    343.24/474.87 = 329.74/x
  3. Step 3: Cross multiply
    343.24x = 474.87 × 329.74
  4. Step 4: Simplify right side
    343.24x = 156,583.63
  5. Step 5: Solve for x
    x = 156,583.63/343.24
  6. Step 6: Final answer
    x = 456.19

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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.