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Finding the Fourth Proportional to 496.24, 742.88 and 279.16

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Solution

The fourth proportional to 496.24, 742.88 and 279.16 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.24 : 742.88 = 279.16 : x
  2. Step 2: Convert to fraction form
    496.24/742.88 = 279.16/x
  3. Step 3: Cross multiply
    496.24x = 742.88 × 279.16
  4. Step 4: Simplify right side
    496.24x = 207,382.38
  5. Step 5: Solve for x
    x = 207,382.38/496.24
  6. Step 6: Final answer
    x = 417.91

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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.