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Finding the Fourth Proportional to 153.98, 230.82 and 76.90

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Solution

The fourth proportional to 153.98, 230.82 and 76.90 is: 115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.98 : 230.82 = 76.90 : x
  2. Step 2: Convert to fraction form
    153.98/230.82 = 76.90/x
  3. Step 3: Cross multiply
    153.98x = 230.82 × 76.90
  4. Step 4: Simplify right side
    153.98x = 17,750.27
  5. Step 5: Solve for x
    x = 17,750.27/153.98
  6. Step 6: Final answer
    x = 115.28

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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.