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Finding the Fourth Proportional to 243.57, 365.15 and 99.20

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Solution

The fourth proportional to 243.57, 365.15 and 99.20 is: 148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.57 : 365.15 = 99.20 : x
  2. Step 2: Convert to fraction form
    243.57/365.15 = 99.20/x
  3. Step 3: Cross multiply
    243.57x = 365.15 × 99.20
  4. Step 4: Simplify right side
    243.57x = 36,220.56
  5. Step 5: Solve for x
    x = 36,220.56/243.57
  6. Step 6: Final answer
    x = 148.71

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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.