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Finding the Fourth Proportional to 159.87, 240.38 and 147.18

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Solution

The fourth proportional to 159.87, 240.38 and 147.18 is: 221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.87 : 240.38 = 147.18 : x
  2. Step 2: Convert to fraction form
    159.87/240.38 = 147.18/x
  3. Step 3: Cross multiply
    159.87x = 240.38 × 147.18
  4. Step 4: Simplify right side
    159.87x = 35,378.39
  5. Step 5: Solve for x
    x = 35,378.39/159.87
  6. Step 6: Final answer
    x = 221.30

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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.