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Finding the Fourth Proportional to 927.31, 1,391.19 and 278.04

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Solution

The fourth proportional to 927.31, 1,391.19 and 278.04 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.31 : 1,391.19 = 278.04 : x
  2. Step 2: Convert to fraction form
    927.31/1,391.19 = 278.04/x
  3. Step 3: Cross multiply
    927.31x = 1,391.19 × 278.04
  4. Step 4: Simplify right side
    927.31x = 386,800.21
  5. Step 5: Solve for x
    x = 386,800.21/927.31
  6. Step 6: Final answer
    x = 417.12

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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.