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Finding the Fourth Proportional to 159.33, 239.10 and 120.86

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Solution

The fourth proportional to 159.33, 239.10 and 120.86 is: 181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.33 : 239.10 = 120.86 : x
  2. Step 2: Convert to fraction form
    159.33/239.10 = 120.86/x
  3. Step 3: Cross multiply
    159.33x = 239.10 × 120.86
  4. Step 4: Simplify right side
    159.33x = 28,897.63
  5. Step 5: Solve for x
    x = 28,897.63/159.33
  6. Step 6: Final answer
    x = 181.37

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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.