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Finding the Fourth Proportional to 414.66, 572.26 and 228.17

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Solution

The fourth proportional to 414.66, 572.26 and 228.17 is: 314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.66 : 572.26 = 228.17 : x
  2. Step 2: Convert to fraction form
    414.66/572.26 = 228.17/x
  3. Step 3: Cross multiply
    414.66x = 572.26 × 228.17
  4. Step 4: Simplify right side
    414.66x = 130,572.56
  5. Step 5: Solve for x
    x = 130,572.56/414.66
  6. Step 6: Final answer
    x = 314.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.