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Finding the Fourth Proportional to 360.78, 497.92 and 282.20

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Solution

The fourth proportional to 360.78, 497.92 and 282.20 is: 389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.78 : 497.92 = 282.20 : x
  2. Step 2: Convert to fraction form
    360.78/497.92 = 282.20/x
  3. Step 3: Cross multiply
    360.78x = 497.92 × 282.20
  4. Step 4: Simplify right side
    360.78x = 140,513.02
  5. Step 5: Solve for x
    x = 140,513.02/360.78
  6. Step 6: Final answer
    x = 389.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.