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Finding the Fourth Proportional to 176.65, 244.11 and 135.16

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Solution

The fourth proportional to 176.65, 244.11 and 135.16 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.65 : 244.11 = 135.16 : x
  2. Step 2: Convert to fraction form
    176.65/244.11 = 135.16/x
  3. Step 3: Cross multiply
    176.65x = 244.11 × 135.16
  4. Step 4: Simplify right side
    176.65x = 32,993.91
  5. Step 5: Solve for x
    x = 32,993.91/176.65
  6. Step 6: Final answer
    x = 186.78

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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.