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Finding the Fourth Proportional to 410.29, 614.04 and 248.09

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Solution

The fourth proportional to 410.29, 614.04 and 248.09 is: 371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.29 : 614.04 = 248.09 : x
  2. Step 2: Convert to fraction form
    410.29/614.04 = 248.09/x
  3. Step 3: Cross multiply
    410.29x = 614.04 × 248.09
  4. Step 4: Simplify right side
    410.29x = 152,337.18
  5. Step 5: Solve for x
    x = 152,337.18/410.29
  6. Step 6: Final answer
    x = 371.29

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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.