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Finding the Fourth Proportional to 410.08, 614.88 and 227.44

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Solution

The fourth proportional to 410.08, 614.88 and 227.44 is: 341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 614.88 = 227.44 : x
  2. Step 2: Convert to fraction form
    410.08/614.88 = 227.44/x
  3. Step 3: Cross multiply
    410.08x = 614.88 × 227.44
  4. Step 4: Simplify right side
    410.08x = 139,848.31
  5. Step 5: Solve for x
    x = 139,848.31/410.08
  6. Step 6: Final answer
    x = 341.03

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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.