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Finding the Fourth Proportional to 892.92, 1,339.40 and 243.64

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Solution

The fourth proportional to 892.92, 1,339.40 and 243.64 is: 365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.92 : 1,339.40 = 243.64 : x
  2. Step 2: Convert to fraction form
    892.92/1,339.40 = 243.64/x
  3. Step 3: Cross multiply
    892.92x = 1,339.40 × 243.64
  4. Step 4: Simplify right side
    892.92x = 326,331.42
  5. Step 5: Solve for x
    x = 326,331.42/892.92
  6. Step 6: Final answer
    x = 365.47

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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.