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Finding the Fourth Proportional to 176.91, 266.52 and 161.88

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Solution

The fourth proportional to 176.91, 266.52 and 161.88 is: 243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.91 : 266.52 = 161.88 : x
  2. Step 2: Convert to fraction form
    176.91/266.52 = 161.88/x
  3. Step 3: Cross multiply
    176.91x = 266.52 × 161.88
  4. Step 4: Simplify right side
    176.91x = 43,144.26
  5. Step 5: Solve for x
    x = 43,144.26/176.91
  6. Step 6: Final answer
    x = 243.88

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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.