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Finding the Fourth Proportional to 532.97, 735.48 and 311.97

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Solution

The fourth proportional to 532.97, 735.48 and 311.97 is: 430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.97 : 735.48 = 311.97 : x
  2. Step 2: Convert to fraction form
    532.97/735.48 = 311.97/x
  3. Step 3: Cross multiply
    532.97x = 735.48 × 311.97
  4. Step 4: Simplify right side
    532.97x = 229,447.70
  5. Step 5: Solve for x
    x = 229,447.70/532.97
  6. Step 6: Final answer
    x = 430.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.