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Finding the Fourth Proportional to 337.20, 464.94 and 212.70

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Solution

The fourth proportional to 337.20, 464.94 and 212.70 is: 293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.20 : 464.94 = 212.70 : x
  2. Step 2: Convert to fraction form
    337.20/464.94 = 212.70/x
  3. Step 3: Cross multiply
    337.20x = 464.94 × 212.70
  4. Step 4: Simplify right side
    337.20x = 98,892.74
  5. Step 5: Solve for x
    x = 98,892.74/337.20
  6. Step 6: Final answer
    x = 293.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.