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Finding the Fourth Proportional to 159.40, 238.02 and 130.57

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Solution

The fourth proportional to 159.40, 238.02 and 130.57 is: 194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.40 : 238.02 = 130.57 : x
  2. Step 2: Convert to fraction form
    159.40/238.02 = 130.57/x
  3. Step 3: Cross multiply
    159.40x = 238.02 × 130.57
  4. Step 4: Simplify right side
    159.40x = 31,078.27
  5. Step 5: Solve for x
    x = 31,078.27/159.40
  6. Step 6: Final answer
    x = 194.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.