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Finding the Fourth Proportional to 663.50, 995.31 and 176.55

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Solution

The fourth proportional to 663.50, 995.31 and 176.55 is: 264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.50 : 995.31 = 176.55 : x
  2. Step 2: Convert to fraction form
    663.50/995.31 = 176.55/x
  3. Step 3: Cross multiply
    663.50x = 995.31 × 176.55
  4. Step 4: Simplify right side
    663.50x = 175,727.14
  5. Step 5: Solve for x
    x = 175,727.14/663.50
  6. Step 6: Final answer
    x = 264.85

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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.