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Finding the Fourth Proportional to 159.47, 238.98 and 107.98

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Solution

The fourth proportional to 159.47, 238.98 and 107.98 is: 161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.47 : 238.98 = 107.98 : x
  2. Step 2: Convert to fraction form
    159.47/238.98 = 107.98/x
  3. Step 3: Cross multiply
    159.47x = 238.98 × 107.98
  4. Step 4: Simplify right side
    159.47x = 25,805.30
  5. Step 5: Solve for x
    x = 25,805.30/159.47
  6. Step 6: Final answer
    x = 161.82

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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.