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Finding the Fourth Proportional to 211.38, 316.86 and 89.61

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Solution

The fourth proportional to 211.38, 316.86 and 89.61 is: 134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.38 : 316.86 = 89.61 : x
  2. Step 2: Convert to fraction form
    211.38/316.86 = 89.61/x
  3. Step 3: Cross multiply
    211.38x = 316.86 × 89.61
  4. Step 4: Simplify right side
    211.38x = 28,393.82
  5. Step 5: Solve for x
    x = 28,393.82/211.38
  6. Step 6: Final answer
    x = 134.33

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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.