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Finding the Fourth Proportional to 211.32, 316.78 and 74.27

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Solution

The fourth proportional to 211.32, 316.78 and 74.27 is: 111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.32 : 316.78 = 74.27 : x
  2. Step 2: Convert to fraction form
    211.32/316.78 = 74.27/x
  3. Step 3: Cross multiply
    211.32x = 316.78 × 74.27
  4. Step 4: Simplify right side
    211.32x = 23,527.25
  5. Step 5: Solve for x
    x = 23,527.25/211.32
  6. Step 6: Final answer
    x = 111.33

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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.