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Finding the Fourth Proportional to 414.85, 572.45 and 228.31

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Solution

The fourth proportional to 414.85, 572.45 and 228.31 is: 315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.85 : 572.45 = 228.31 : x
  2. Step 2: Convert to fraction form
    414.85/572.45 = 228.31/x
  3. Step 3: Cross multiply
    414.85x = 572.45 × 228.31
  4. Step 4: Simplify right side
    414.85x = 130,693.77
  5. Step 5: Solve for x
    x = 130,693.77/414.85
  6. Step 6: Final answer
    x = 315.04

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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.