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Finding the Fourth Proportional to 257.29, 354.67 and 212.49

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Solution

The fourth proportional to 257.29, 354.67 and 212.49 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.29 : 354.67 = 212.49 : x
  2. Step 2: Convert to fraction form
    257.29/354.67 = 212.49/x
  3. Step 3: Cross multiply
    257.29x = 354.67 × 212.49
  4. Step 4: Simplify right side
    257.29x = 75,363.83
  5. Step 5: Solve for x
    x = 75,363.83/257.29
  6. Step 6: Final answer
    x = 292.91

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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.