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Finding the Fourth Proportional to 214.81, 322.18 and 77.86

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Solution

The fourth proportional to 214.81, 322.18 and 77.86 is: 116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 322.18 = 77.86 : x
  2. Step 2: Convert to fraction form
    214.81/322.18 = 77.86/x
  3. Step 3: Cross multiply
    214.81x = 322.18 × 77.86
  4. Step 4: Simplify right side
    214.81x = 25,084.93
  5. Step 5: Solve for x
    x = 25,084.93/214.81
  6. Step 6: Final answer
    x = 116.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.