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Finding the Fourth Proportional to 663.42, 995.21 and 176.50

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Solution

The fourth proportional to 663.42, 995.21 and 176.50 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.42 : 995.21 = 176.50 : x
  2. Step 2: Convert to fraction form
    663.42/995.21 = 176.50/x
  3. Step 3: Cross multiply
    663.42x = 995.21 × 176.50
  4. Step 4: Simplify right side
    663.42x = 175,654.57
  5. Step 5: Solve for x
    x = 175,654.57/663.42
  6. Step 6: Final answer
    x = 264.77

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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.