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Finding the Fourth Proportional to 120.41, 166.01 and 87.20

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Solution

The fourth proportional to 120.41, 166.01 and 87.20 is: 120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.41 : 166.01 = 87.20 : x
  2. Step 2: Convert to fraction form
    120.41/166.01 = 87.20/x
  3. Step 3: Cross multiply
    120.41x = 166.01 × 87.20
  4. Step 4: Simplify right side
    120.41x = 14,476.07
  5. Step 5: Solve for x
    x = 14,476.07/120.41
  6. Step 6: Final answer
    x = 120.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.