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Finding the Fourth Proportional to 104.86, 158.01 and 86.97

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Solution

The fourth proportional to 104.86, 158.01 and 86.97 is: 131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.86 : 158.01 = 86.97 : x
  2. Step 2: Convert to fraction form
    104.86/158.01 = 86.97/x
  3. Step 3: Cross multiply
    104.86x = 158.01 × 86.97
  4. Step 4: Simplify right side
    104.86x = 13,742.13
  5. Step 5: Solve for x
    x = 13,742.13/104.86
  6. Step 6: Final answer
    x = 131.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.