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Finding the Fourth Proportional to 257.04, 353.94 and 212.62

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Solution

The fourth proportional to 257.04, 353.94 and 212.62 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 353.94 = 212.62 : x
  2. Step 2: Convert to fraction form
    257.04/353.94 = 212.62/x
  3. Step 3: Cross multiply
    257.04x = 353.94 × 212.62
  4. Step 4: Simplify right side
    257.04x = 75,254.72
  5. Step 5: Solve for x
    x = 75,254.72/257.04
  6. Step 6: Final answer
    x = 292.77

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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.