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Finding the Fourth Proportional to 171.65, 236.78 and 130.13

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Solution

The fourth proportional to 171.65, 236.78 and 130.13 is: 179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.65 : 236.78 = 130.13 : x
  2. Step 2: Convert to fraction form
    171.65/236.78 = 130.13/x
  3. Step 3: Cross multiply
    171.65x = 236.78 × 130.13
  4. Step 4: Simplify right side
    171.65x = 30,812.75
  5. Step 5: Solve for x
    x = 30,812.75/171.65
  6. Step 6: Final answer
    x = 179.51

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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.