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Finding the Fourth Proportional to 159.62, 239.38 and 105.53

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Solution

The fourth proportional to 159.62, 239.38 and 105.53 is: 158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.62 : 239.38 = 105.53 : x
  2. Step 2: Convert to fraction form
    159.62/239.38 = 105.53/x
  3. Step 3: Cross multiply
    159.62x = 239.38 × 105.53
  4. Step 4: Simplify right side
    159.62x = 25,261.77
  5. Step 5: Solve for x
    x = 25,261.77/159.62
  6. Step 6: Final answer
    x = 158.26

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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.