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Finding the Fourth Proportional to 402.23, 554.90 and 252.76

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Solution

The fourth proportional to 402.23, 554.90 and 252.76 is: 348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 554.90 = 252.76 : x
  2. Step 2: Convert to fraction form
    402.23/554.90 = 252.76/x
  3. Step 3: Cross multiply
    402.23x = 554.90 × 252.76
  4. Step 4: Simplify right side
    402.23x = 140,255.26
  5. Step 5: Solve for x
    x = 140,255.26/402.23
  6. Step 6: Final answer
    x = 348.70

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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.