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Finding the Fourth Proportional to 532.52, 799.14 and 207.89

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Solution

The fourth proportional to 532.52, 799.14 and 207.89 is: 311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.52 : 799.14 = 207.89 : x
  2. Step 2: Convert to fraction form
    532.52/799.14 = 207.89/x
  3. Step 3: Cross multiply
    532.52x = 799.14 × 207.89
  4. Step 4: Simplify right side
    532.52x = 166,129.22
  5. Step 5: Solve for x
    x = 166,129.22/532.52
  6. Step 6: Final answer
    x = 311.97

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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.