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Finding the Fourth Proportional to 898.38, 1,347.60 and 249.12

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Solution

The fourth proportional to 898.38, 1,347.60 and 249.12 is: 373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.38 : 1,347.60 = 249.12 : x
  2. Step 2: Convert to fraction form
    898.38/1,347.60 = 249.12/x
  3. Step 3: Cross multiply
    898.38x = 1,347.60 × 249.12
  4. Step 4: Simplify right side
    898.38x = 335,714.11
  5. Step 5: Solve for x
    x = 335,714.11/898.38
  6. Step 6: Final answer
    x = 373.69

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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.