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Finding the Fourth Proportional to 119.98, 178.55 and 115.66

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Solution

The fourth proportional to 119.98, 178.55 and 115.66 is: 172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.98 : 178.55 = 115.66 : x
  2. Step 2: Convert to fraction form
    119.98/178.55 = 115.66/x
  3. Step 3: Cross multiply
    119.98x = 178.55 × 115.66
  4. Step 4: Simplify right side
    119.98x = 20,651.09
  5. Step 5: Solve for x
    x = 20,651.09/119.98
  6. Step 6: Final answer
    x = 172.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.