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Finding the Fourth Proportional to 159.10, 238.51 and 77.90

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Solution

The fourth proportional to 159.10, 238.51 and 77.90 is: 116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.10 : 238.51 = 77.90 : x
  2. Step 2: Convert to fraction form
    159.10/238.51 = 77.90/x
  3. Step 3: Cross multiply
    159.10x = 238.51 × 77.90
  4. Step 4: Simplify right side
    159.10x = 18,579.93
  5. Step 5: Solve for x
    x = 18,579.93/159.10
  6. Step 6: Final answer
    x = 116.78

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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.