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Finding the Fourth Proportional to 445.92, 614.87 and 279.93

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Solution

The fourth proportional to 445.92, 614.87 and 279.93 is: 385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.92 : 614.87 = 279.93 : x
  2. Step 2: Convert to fraction form
    445.92/614.87 = 279.93/x
  3. Step 3: Cross multiply
    445.92x = 614.87 × 279.93
  4. Step 4: Simplify right side
    445.92x = 172,121.26
  5. Step 5: Solve for x
    x = 172,121.26/445.92
  6. Step 6: Final answer
    x = 385.99

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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.