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Finding the Fourth Proportional to 176.31, 243.07 and 171.65

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Solution

The fourth proportional to 176.31, 243.07 and 171.65 is: 236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.31 : 243.07 = 171.65 : x
  2. Step 2: Convert to fraction form
    176.31/243.07 = 171.65/x
  3. Step 3: Cross multiply
    176.31x = 243.07 × 171.65
  4. Step 4: Simplify right side
    176.31x = 41,723.14
  5. Step 5: Solve for x
    x = 41,723.14/176.31
  6. Step 6: Final answer
    x = 236.65

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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.