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Finding the Fourth Proportional to 141.16, 211.72 and 49.86

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Solution

The fourth proportional to 141.16, 211.72 and 49.86 is: 74.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.16 : 211.72 = 49.86 : x
  2. Step 2: Convert to fraction form
    141.16/211.72 = 49.86/x
  3. Step 3: Cross multiply
    141.16x = 211.72 × 49.86
  4. Step 4: Simplify right side
    141.16x = 10,556.36
  5. Step 5: Solve for x
    x = 10,556.36/141.16
  6. Step 6: Final answer
    x = 74.78

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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.