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Finding the Fourth Proportional to 892.32, 1,338.36 and 243.10

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Solution

The fourth proportional to 892.32, 1,338.36 and 243.10 is: 364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.32 : 1,338.36 = 243.10 : x
  2. Step 2: Convert to fraction form
    892.32/1,338.36 = 243.10/x
  3. Step 3: Cross multiply
    892.32x = 1,338.36 × 243.10
  4. Step 4: Simplify right side
    892.32x = 325,356.08
  5. Step 5: Solve for x
    x = 325,356.08/892.32
  6. Step 6: Final answer
    x = 364.62

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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.