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Finding the Fourth Proportional to 214.81, 296.38 and 141.15

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Solution

The fourth proportional to 214.81, 296.38 and 141.15 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 296.38 = 141.15 : x
  2. Step 2: Convert to fraction form
    214.81/296.38 = 141.15/x
  3. Step 3: Cross multiply
    214.81x = 296.38 × 141.15
  4. Step 4: Simplify right side
    214.81x = 41,832.86
  5. Step 5: Solve for x
    x = 41,832.86/214.81
  6. Step 6: Final answer
    x = 194.75

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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.