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Finding the Fourth Proportional to 159.20, 239.34 and 127.11

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Solution

The fourth proportional to 159.20, 239.34 and 127.11 is: 191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.20 : 239.34 = 127.11 : x
  2. Step 2: Convert to fraction form
    159.20/239.34 = 127.11/x
  3. Step 3: Cross multiply
    159.20x = 239.34 × 127.11
  4. Step 4: Simplify right side
    159.20x = 30,422.51
  5. Step 5: Solve for x
    x = 30,422.51/159.20
  6. Step 6: Final answer
    x = 191.10

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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.