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Finding the Fourth Proportional to 211.89, 318.03 and 103.75

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Solution

The fourth proportional to 211.89, 318.03 and 103.75 is: 155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.89 : 318.03 = 103.75 : x
  2. Step 2: Convert to fraction form
    211.89/318.03 = 103.75/x
  3. Step 3: Cross multiply
    211.89x = 318.03 × 103.75
  4. Step 4: Simplify right side
    211.89x = 32,995.61
  5. Step 5: Solve for x
    x = 32,995.61/211.89
  6. Step 6: Final answer
    x = 155.72

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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.