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Finding the Fourth Proportional to 141.26, 211.86 and 57.87

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Solution

The fourth proportional to 141.26, 211.86 and 57.87 is: 86.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.26 : 211.86 = 57.87 : x
  2. Step 2: Convert to fraction form
    141.26/211.86 = 57.87/x
  3. Step 3: Cross multiply
    141.26x = 211.86 × 57.87
  4. Step 4: Simplify right side
    141.26x = 12,260.34
  5. Step 5: Solve for x
    x = 12,260.34/141.26
  6. Step 6: Final answer
    x = 86.80

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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.