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Finding the Fourth Proportional to 212.97, 319.46 and 176.49

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Solution

The fourth proportional to 212.97, 319.46 and 176.49 is: 264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.97 : 319.46 = 176.49 : x
  2. Step 2: Convert to fraction form
    212.97/319.46 = 176.49/x
  3. Step 3: Cross multiply
    212.97x = 319.46 × 176.49
  4. Step 4: Simplify right side
    212.97x = 56,380.61
  5. Step 5: Solve for x
    x = 56,380.61/212.97
  6. Step 6: Final answer
    x = 264.74

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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.