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Finding the Fourth Proportional to 397.32, 548.28 and 229.29

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Solution

The fourth proportional to 397.32, 548.28 and 229.29 is: 316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.32 : 548.28 = 229.29 : x
  2. Step 2: Convert to fraction form
    397.32/548.28 = 229.29/x
  3. Step 3: Cross multiply
    397.32x = 548.28 × 229.29
  4. Step 4: Simplify right side
    397.32x = 125,715.12
  5. Step 5: Solve for x
    x = 125,715.12/397.32
  6. Step 6: Final answer
    x = 316.41

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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.