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Finding the Fourth Proportional to 159.96, 239.52 and 123.24

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Solution

The fourth proportional to 159.96, 239.52 and 123.24 is: 184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.96 : 239.52 = 123.24 : x
  2. Step 2: Convert to fraction form
    159.96/239.52 = 123.24/x
  3. Step 3: Cross multiply
    159.96x = 239.52 × 123.24
  4. Step 4: Simplify right side
    159.96x = 29,518.44
  5. Step 5: Solve for x
    x = 29,518.44/159.96
  6. Step 6: Final answer
    x = 184.54

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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.