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Finding the Fourth Proportional to 159.86, 239.49 and 135.48

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Solution

The fourth proportional to 159.86, 239.49 and 135.48 is: 202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.86 : 239.49 = 135.48 : x
  2. Step 2: Convert to fraction form
    159.86/239.49 = 135.48/x
  3. Step 3: Cross multiply
    159.86x = 239.49 × 135.48
  4. Step 4: Simplify right side
    159.86x = 32,446.11
  5. Step 5: Solve for x
    x = 32,446.11/159.86
  6. Step 6: Final answer
    x = 202.97

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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.