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Finding the Fourth Proportional to 159.52, 218.96 and 137.65

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Solution

The fourth proportional to 159.52, 218.96 and 137.65 is: 188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.52 : 218.96 = 137.65 : x
  2. Step 2: Convert to fraction form
    159.52/218.96 = 137.65/x
  3. Step 3: Cross multiply
    159.52x = 218.96 × 137.65
  4. Step 4: Simplify right side
    159.52x = 30,139.84
  5. Step 5: Solve for x
    x = 30,139.84/159.52
  6. Step 6: Final answer
    x = 188.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.