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Finding the Fourth Proportional to 332.52, 499.14 and 281.40

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Solution

The fourth proportional to 332.52, 499.14 and 281.40 is: 422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.52 : 499.14 = 281.40 : x
  2. Step 2: Convert to fraction form
    332.52/499.14 = 281.40/x
  3. Step 3: Cross multiply
    332.52x = 499.14 × 281.40
  4. Step 4: Simplify right side
    332.52x = 140,458.00
  5. Step 5: Solve for x
    x = 140,458.00/332.52
  6. Step 6: Final answer
    x = 422.40

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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.