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Finding the Fourth Proportional to 141.76, 211.60 and 130.36

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Solution

The fourth proportional to 141.76, 211.60 and 130.36 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.76 : 211.60 = 130.36 : x
  2. Step 2: Convert to fraction form
    141.76/211.60 = 130.36/x
  3. Step 3: Cross multiply
    141.76x = 211.60 × 130.36
  4. Step 4: Simplify right side
    141.76x = 27,584.18
  5. Step 5: Solve for x
    x = 27,584.18/141.76
  6. Step 6: Final answer
    x = 194.58

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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.