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Finding the Fourth Proportional to 532.52, 799.02 and 207.78

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Solution

The fourth proportional to 532.52, 799.02 and 207.78 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.52 : 799.02 = 207.78 : x
  2. Step 2: Convert to fraction form
    532.52/799.02 = 207.78/x
  3. Step 3: Cross multiply
    532.52x = 799.02 × 207.78
  4. Step 4: Simplify right side
    532.52x = 166,020.38
  5. Step 5: Solve for x
    x = 166,020.38/532.52
  6. Step 6: Final answer
    x = 311.76

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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.