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Finding the Fourth Proportional to 229.62, 316.50 and 167.40

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Solution

The fourth proportional to 229.62, 316.50 and 167.40 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.62 : 316.50 = 167.40 : x
  2. Step 2: Convert to fraction form
    229.62/316.50 = 167.40/x
  3. Step 3: Cross multiply
    229.62x = 316.50 × 167.40
  4. Step 4: Simplify right side
    229.62x = 52,982.10
  5. Step 5: Solve for x
    x = 52,982.10/229.62
  6. Step 6: Final answer
    x = 230.74

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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.