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Finding the Fourth Proportional to 256.67, 353.11 and 212.93

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Solution

The fourth proportional to 256.67, 353.11 and 212.93 is: 292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.67 : 353.11 = 212.93 : x
  2. Step 2: Convert to fraction form
    256.67/353.11 = 212.93/x
  3. Step 3: Cross multiply
    256.67x = 353.11 × 212.93
  4. Step 4: Simplify right side
    256.67x = 75,187.14
  5. Step 5: Solve for x
    x = 75,187.14/256.67
  6. Step 6: Final answer
    x = 292.93

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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.