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Finding the Fourth Proportional to 382.46, 573.29 and 176.72

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Solution

The fourth proportional to 382.46, 573.29 and 176.72 is: 264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.46 : 573.29 = 176.72 : x
  2. Step 2: Convert to fraction form
    382.46/573.29 = 176.72/x
  3. Step 3: Cross multiply
    382.46x = 573.29 × 176.72
  4. Step 4: Simplify right side
    382.46x = 101,310.93
  5. Step 5: Solve for x
    x = 101,310.93/382.46
  6. Step 6: Final answer
    x = 264.89

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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.