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Finding the Fourth Proportional to 500.30, 749.68 and 343.92

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Solution

The fourth proportional to 500.30, 749.68 and 343.92 is: 515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.30 : 749.68 = 343.92 : x
  2. Step 2: Convert to fraction form
    500.30/749.68 = 343.92/x
  3. Step 3: Cross multiply
    500.30x = 749.68 × 343.92
  4. Step 4: Simplify right side
    500.30x = 257,829.95
  5. Step 5: Solve for x
    x = 257,829.95/500.30
  6. Step 6: Final answer
    x = 515.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.