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Finding the Fourth Proportional to 95.98, 144.06 and 86.98

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Solution

The fourth proportional to 95.98, 144.06 and 86.98 is: 130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.98 : 144.06 = 86.98 : x
  2. Step 2: Convert to fraction form
    95.98/144.06 = 86.98/x
  3. Step 3: Cross multiply
    95.98x = 144.06 × 86.98
  4. Step 4: Simplify right side
    95.98x = 12,530.34
  5. Step 5: Solve for x
    x = 12,530.34/95.98
  6. Step 6: Final answer
    x = 130.55

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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.