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Finding the Fourth Proportional to 360.48, 498.24 and 282.72

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Solution

The fourth proportional to 360.48, 498.24 and 282.72 is: 390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 498.24 = 282.72 : x
  2. Step 2: Convert to fraction form
    360.48/498.24 = 282.72/x
  3. Step 3: Cross multiply
    360.48x = 498.24 × 282.72
  4. Step 4: Simplify right side
    360.48x = 140,862.41
  5. Step 5: Solve for x
    x = 140,862.41/360.48
  6. Step 6: Final answer
    x = 390.76

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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.