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Finding the Fourth Proportional to 141.08, 211.72 and 77

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Solution

The fourth proportional to 141.08, 211.72 and 77 is: 115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.08 : 211.72 = 77 : x
  2. Step 2: Convert to fraction form
    141.08/211.72 = 77/x
  3. Step 3: Cross multiply
    141.08x = 211.72 × 77
  4. Step 4: Simplify right side
    141.08x = 16,302.44
  5. Step 5: Solve for x
    x = 16,302.44/141.08
  6. Step 6: Final answer
    x = 115.55

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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.