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Finding the Fourth Proportional to 458.29, 687.62 and 227.40

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Solution

The fourth proportional to 458.29, 687.62 and 227.40 is: 341.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.29 : 687.62 = 227.40 : x
  2. Step 2: Convert to fraction form
    458.29/687.62 = 227.40/x
  3. Step 3: Cross multiply
    458.29x = 687.62 × 227.40
  4. Step 4: Simplify right side
    458.29x = 156,364.79
  5. Step 5: Solve for x
    x = 156,364.79/458.29
  6. Step 6: Final answer
    x = 341.19

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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.