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Finding the Fourth Proportional to 215.40, 296.76 and 166.11

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Solution

The fourth proportional to 215.40, 296.76 and 166.11 is: 228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.40 : 296.76 = 166.11 : x
  2. Step 2: Convert to fraction form
    215.40/296.76 = 166.11/x
  3. Step 3: Cross multiply
    215.40x = 296.76 × 166.11
  4. Step 4: Simplify right side
    215.40x = 49,294.80
  5. Step 5: Solve for x
    x = 49,294.80/215.40
  6. Step 6: Final answer
    x = 228.85

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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.