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Finding the Fourth Proportional to 159.76, 239.64 and 74.24

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Solution

The fourth proportional to 159.76, 239.64 and 74.24 is: 111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.76 : 239.64 = 74.24 : x
  2. Step 2: Convert to fraction form
    159.76/239.64 = 74.24/x
  3. Step 3: Cross multiply
    159.76x = 239.64 × 74.24
  4. Step 4: Simplify right side
    159.76x = 17,790.87
  5. Step 5: Solve for x
    x = 17,790.87/159.76
  6. Step 6: Final answer
    x = 111.36

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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.