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Finding the Fourth Proportional to 159.48, 239.02 and 147.94

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Solution

The fourth proportional to 159.48, 239.02 and 147.94 is: 221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.48 : 239.02 = 147.94 : x
  2. Step 2: Convert to fraction form
    159.48/239.02 = 147.94/x
  3. Step 3: Cross multiply
    159.48x = 239.02 × 147.94
  4. Step 4: Simplify right side
    159.48x = 35,359.65
  5. Step 5: Solve for x
    x = 35,359.65/159.48
  6. Step 6: Final answer
    x = 221.72

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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.