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Finding the Fourth Proportional to 176.19, 243.38 and 141.27

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Solution

The fourth proportional to 176.19, 243.38 and 141.27 is: 195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.19 : 243.38 = 141.27 : x
  2. Step 2: Convert to fraction form
    176.19/243.38 = 141.27/x
  3. Step 3: Cross multiply
    176.19x = 243.38 × 141.27
  4. Step 4: Simplify right side
    176.19x = 34,382.65
  5. Step 5: Solve for x
    x = 34,382.65/176.19
  6. Step 6: Final answer
    x = 195.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.