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Finding the Fourth Proportional to 159.64, 239.25 and 105.57

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Solution

The fourth proportional to 159.64, 239.25 and 105.57 is: 158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 239.25 = 105.57 : x
  2. Step 2: Convert to fraction form
    159.64/239.25 = 105.57/x
  3. Step 3: Cross multiply
    159.64x = 239.25 × 105.57
  4. Step 4: Simplify right side
    159.64x = 25,258.02
  5. Step 5: Solve for x
    x = 25,258.02/159.64
  6. Step 6: Final answer
    x = 158.22

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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.