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Finding the Fourth Proportional to 532.28, 798.42 and 147.52

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Solution

The fourth proportional to 532.28, 798.42 and 147.52 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.28 : 798.42 = 147.52 : x
  2. Step 2: Convert to fraction form
    532.28/798.42 = 147.52/x
  3. Step 3: Cross multiply
    532.28x = 798.42 × 147.52
  4. Step 4: Simplify right side
    532.28x = 117,782.92
  5. Step 5: Solve for x
    x = 117,782.92/532.28
  6. Step 6: Final answer
    x = 221.28

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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.