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Finding the Fourth Proportional to 409.92, 614.16 and 294.14

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Solution

The fourth proportional to 409.92, 614.16 and 294.14 is: 440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 614.16 = 294.14 : x
  2. Step 2: Convert to fraction form
    409.92/614.16 = 294.14/x
  3. Step 3: Cross multiply
    409.92x = 614.16 × 294.14
  4. Step 4: Simplify right side
    409.92x = 180,649.02
  5. Step 5: Solve for x
    x = 180,649.02/409.92
  6. Step 6: Final answer
    x = 440.69

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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.