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Finding the Fourth Proportional to 500.48, 749.56 and 240.66

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Solution

The fourth proportional to 500.48, 749.56 and 240.66 is: 360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.48 : 749.56 = 240.66 : x
  2. Step 2: Convert to fraction form
    500.48/749.56 = 240.66/x
  3. Step 3: Cross multiply
    500.48x = 749.56 × 240.66
  4. Step 4: Simplify right side
    500.48x = 180,389.11
  5. Step 5: Solve for x
    x = 180,389.11/500.48
  6. Step 6: Final answer
    x = 360.43

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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.