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Finding the Fourth Proportional to 402.40, 555.14 and 297.74

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Solution

The fourth proportional to 402.40, 555.14 and 297.74 is: 410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.40 : 555.14 = 297.74 : x
  2. Step 2: Convert to fraction form
    402.40/555.14 = 297.74/x
  3. Step 3: Cross multiply
    402.40x = 555.14 × 297.74
  4. Step 4: Simplify right side
    402.40x = 165,287.38
  5. Step 5: Solve for x
    x = 165,287.38/402.40
  6. Step 6: Final answer
    x = 410.75

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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.