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Finding the Fourth Proportional to 534.90, 738.26 and 310.87

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Solution

The fourth proportional to 534.90, 738.26 and 310.87 is: 429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.90 : 738.26 = 310.87 : x
  2. Step 2: Convert to fraction form
    534.90/738.26 = 310.87/x
  3. Step 3: Cross multiply
    534.90x = 738.26 × 310.87
  4. Step 4: Simplify right side
    534.90x = 229,503.61
  5. Step 5: Solve for x
    x = 229,503.61/534.90
  6. Step 6: Final answer
    x = 429.06

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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.