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Finding the Fourth Proportional to 176.83, 265.10 and 80.57

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Solution

The fourth proportional to 176.83, 265.10 and 80.57 is: 120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.83 : 265.10 = 80.57 : x
  2. Step 2: Convert to fraction form
    176.83/265.10 = 80.57/x
  3. Step 3: Cross multiply
    176.83x = 265.10 × 80.57
  4. Step 4: Simplify right side
    176.83x = 21,358.70
  5. Step 5: Solve for x
    x = 21,358.70/176.83
  6. Step 6: Final answer
    x = 120.79

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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.