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Finding the Fourth Proportional to 402.08, 606.20 and 374.24

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Solution

The fourth proportional to 402.08, 606.20 and 374.24 is: 564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.08 : 606.20 = 374.24 : x
  2. Step 2: Convert to fraction form
    402.08/606.20 = 374.24/x
  3. Step 3: Cross multiply
    402.08x = 606.20 × 374.24
  4. Step 4: Simplify right side
    402.08x = 226,864.29
  5. Step 5: Solve for x
    x = 226,864.29/402.08
  6. Step 6: Final answer
    x = 564.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.