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Finding the Fourth Proportional to 141.14, 210.80 and 112.29

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Solution

The fourth proportional to 141.14, 210.80 and 112.29 is: 167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.14 : 210.80 = 112.29 : x
  2. Step 2: Convert to fraction form
    141.14/210.80 = 112.29/x
  3. Step 3: Cross multiply
    141.14x = 210.80 × 112.29
  4. Step 4: Simplify right side
    141.14x = 23,670.22
  5. Step 5: Solve for x
    x = 23,670.22/141.14
  6. Step 6: Final answer
    x = 167.70

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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.