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Finding the Fourth Proportional to 243.76, 365.60 and 115.52

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Solution

The fourth proportional to 243.76, 365.60 and 115.52 is: 173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.76 : 365.60 = 115.52 : x
  2. Step 2: Convert to fraction form
    243.76/365.60 = 115.52/x
  3. Step 3: Cross multiply
    243.76x = 365.60 × 115.52
  4. Step 4: Simplify right side
    243.76x = 42,234.11
  5. Step 5: Solve for x
    x = 42,234.11/243.76
  6. Step 6: Final answer
    x = 173.26

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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.