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Finding the Fourth Proportional to 159.57, 239.55 and 135.66

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Solution

The fourth proportional to 159.57, 239.55 and 135.66 is: 203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 239.55 = 135.66 : x
  2. Step 2: Convert to fraction form
    159.57/239.55 = 135.66/x
  3. Step 3: Cross multiply
    159.57x = 239.55 × 135.66
  4. Step 4: Simplify right side
    159.57x = 32,497.35
  5. Step 5: Solve for x
    x = 32,497.35/159.57
  6. Step 6: Final answer
    x = 203.66

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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.