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Finding the Fourth Proportional to 214.82, 296.22 and 149.18

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Solution

The fourth proportional to 214.82, 296.22 and 149.18 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.82 : 296.22 = 149.18 : x
  2. Step 2: Convert to fraction form
    214.82/296.22 = 149.18/x
  3. Step 3: Cross multiply
    214.82x = 296.22 × 149.18
  4. Step 4: Simplify right side
    214.82x = 44,190.10
  5. Step 5: Solve for x
    x = 44,190.10/214.82
  6. Step 6: Final answer
    x = 205.71

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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.