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Finding the Fourth Proportional to 141.76, 211.86 and 130.81

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Solution

The fourth proportional to 141.76, 211.86 and 130.81 is: 195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.76 : 211.86 = 130.81 : x
  2. Step 2: Convert to fraction form
    141.76/211.86 = 130.81/x
  3. Step 3: Cross multiply
    141.76x = 211.86 × 130.81
  4. Step 4: Simplify right side
    141.76x = 27,713.41
  5. Step 5: Solve for x
    x = 27,713.41/141.76
  6. Step 6: Final answer
    x = 195.50

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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.