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Finding the Fourth Proportional to 243.86, 363.68 and 207.52

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Solution

The fourth proportional to 243.86, 363.68 and 207.52 is: 309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.86 : 363.68 = 207.52 : x
  2. Step 2: Convert to fraction form
    243.86/363.68 = 207.52/x
  3. Step 3: Cross multiply
    243.86x = 363.68 × 207.52
  4. Step 4: Simplify right side
    243.86x = 75,468.93
  5. Step 5: Solve for x
    x = 75,468.93/243.86
  6. Step 6: Final answer
    x = 309.48

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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.