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Finding the Fourth Proportional to 214.91, 296.61 and 121.66

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Solution

The fourth proportional to 214.91, 296.61 and 121.66 is: 167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.91 : 296.61 = 121.66 : x
  2. Step 2: Convert to fraction form
    214.91/296.61 = 121.66/x
  3. Step 3: Cross multiply
    214.91x = 296.61 × 121.66
  4. Step 4: Simplify right side
    214.91x = 36,085.57
  5. Step 5: Solve for x
    x = 36,085.57/214.91
  6. Step 6: Final answer
    x = 167.91

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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.