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Finding the Fourth Proportional to 216.38, 297.88 and 167.17

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Solution

The fourth proportional to 216.38, 297.88 and 167.17 is: 230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.38 : 297.88 = 167.17 : x
  2. Step 2: Convert to fraction form
    216.38/297.88 = 167.17/x
  3. Step 3: Cross multiply
    216.38x = 297.88 × 167.17
  4. Step 4: Simplify right side
    216.38x = 49,794.27
  5. Step 5: Solve for x
    x = 49,794.27/216.38
  6. Step 6: Final answer
    x = 230.13

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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.