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Finding the Fourth Proportional to 176.27, 264.20 and 79.88

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Solution

The fourth proportional to 176.27, 264.20 and 79.88 is: 119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.27 : 264.20 = 79.88 : x
  2. Step 2: Convert to fraction form
    176.27/264.20 = 79.88/x
  3. Step 3: Cross multiply
    176.27x = 264.20 × 79.88
  4. Step 4: Simplify right side
    176.27x = 21,102.58
  5. Step 5: Solve for x
    x = 21,102.58/176.27
  6. Step 6: Final answer
    x = 119.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.