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Finding the Fourth Proportional to 211.86, 316.13 and 187.56

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Solution

The fourth proportional to 211.86, 316.13 and 187.56 is: 279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.86 : 316.13 = 187.56 : x
  2. Step 2: Convert to fraction form
    211.86/316.13 = 187.56/x
  3. Step 3: Cross multiply
    211.86x = 316.13 × 187.56
  4. Step 4: Simplify right side
    211.86x = 59,292.41
  5. Step 5: Solve for x
    x = 59,292.41/211.86
  6. Step 6: Final answer
    x = 279.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.