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Finding the Fourth Proportional to 402.13, 554.80 and 254.74

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Solution

The fourth proportional to 402.13, 554.80 and 254.74 is: 351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.13 : 554.80 = 254.74 : x
  2. Step 2: Convert to fraction form
    402.13/554.80 = 254.74/x
  3. Step 3: Cross multiply
    402.13x = 554.80 × 254.74
  4. Step 4: Simplify right side
    402.13x = 141,329.75
  5. Step 5: Solve for x
    x = 141,329.75/402.13
  6. Step 6: Final answer
    x = 351.46

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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.