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Finding the Fourth Proportional to 179.52, 248.32 and 147.20

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Solution

The fourth proportional to 179.52, 248.32 and 147.20 is: 203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.52 : 248.32 = 147.20 : x
  2. Step 2: Convert to fraction form
    179.52/248.32 = 147.20/x
  3. Step 3: Cross multiply
    179.52x = 248.32 × 147.20
  4. Step 4: Simplify right side
    179.52x = 36,552.70
  5. Step 5: Solve for x
    x = 36,552.70/179.52
  6. Step 6: Final answer
    x = 203.61

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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.