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Finding the Fourth Proportional to 402.29, 554.90 and 254.66

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Solution

The fourth proportional to 402.29, 554.90 and 254.66 is: 351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.29 : 554.90 = 254.66 : x
  2. Step 2: Convert to fraction form
    402.29/554.90 = 254.66/x
  3. Step 3: Cross multiply
    402.29x = 554.90 × 254.66
  4. Step 4: Simplify right side
    402.29x = 141,312.86
  5. Step 5: Solve for x
    x = 141,312.86/402.29
  6. Step 6: Final answer
    x = 351.28

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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.