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Finding the Fourth Proportional to 141.60, 211.12 and 137.80

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Solution

The fourth proportional to 141.60, 211.12 and 137.80 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.60 : 211.12 = 137.80 : x
  2. Step 2: Convert to fraction form
    141.60/211.12 = 137.80/x
  3. Step 3: Cross multiply
    141.60x = 211.12 × 137.80
  4. Step 4: Simplify right side
    141.60x = 29,092.34
  5. Step 5: Solve for x
    x = 29,092.34/141.60
  6. Step 6: Final answer
    x = 205.45

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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.