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Finding the Fourth Proportional to 174.52, 260.31 and 147.28

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Solution

The fourth proportional to 174.52, 260.31 and 147.28 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.52 : 260.31 = 147.28 : x
  2. Step 2: Convert to fraction form
    174.52/260.31 = 147.28/x
  3. Step 3: Cross multiply
    174.52x = 260.31 × 147.28
  4. Step 4: Simplify right side
    174.52x = 38,337.72
  5. Step 5: Solve for x
    x = 38,337.72/174.52
  6. Step 6: Final answer
    x = 219.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.