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Finding the Fourth Proportional to 365.47, 547.17 and 243.49

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Solution

The fourth proportional to 365.47, 547.17 and 243.49 is: 364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.47 : 547.17 = 243.49 : x
  2. Step 2: Convert to fraction form
    365.47/547.17 = 243.49/x
  3. Step 3: Cross multiply
    365.47x = 547.17 × 243.49
  4. Step 4: Simplify right side
    365.47x = 133,230.42
  5. Step 5: Solve for x
    x = 133,230.42/365.47
  6. Step 6: Final answer
    x = 364.55

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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.