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Finding the Fourth Proportional to 410.24, 614.10 and 227.07

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Solution

The fourth proportional to 410.24, 614.10 and 227.07 is: 339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 614.10 = 227.07 : x
  2. Step 2: Convert to fraction form
    410.24/614.10 = 227.07/x
  3. Step 3: Cross multiply
    410.24x = 614.10 × 227.07
  4. Step 4: Simplify right side
    410.24x = 139,443.69
  5. Step 5: Solve for x
    x = 139,443.69/410.24
  6. Step 6: Final answer
    x = 339.91

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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.