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Finding the Fourth Proportional to 176.85, 266.51 and 168.61

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Solution

The fourth proportional to 176.85, 266.51 and 168.61 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.85 : 266.51 = 168.61 : x
  2. Step 2: Convert to fraction form
    176.85/266.51 = 168.61/x
  3. Step 3: Cross multiply
    176.85x = 266.51 × 168.61
  4. Step 4: Simplify right side
    176.85x = 44,936.25
  5. Step 5: Solve for x
    x = 44,936.25/176.85
  6. Step 6: Final answer
    x = 254.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.