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Finding the Fourth Proportional to 278.46, 383.22 and 248.94

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Solution

The fourth proportional to 278.46, 383.22 and 248.94 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 383.22 = 248.94 : x
  2. Step 2: Convert to fraction form
    278.46/383.22 = 248.94/x
  3. Step 3: Cross multiply
    278.46x = 383.22 × 248.94
  4. Step 4: Simplify right side
    278.46x = 95,398.79
  5. Step 5: Solve for x
    x = 95,398.79/278.46
  6. Step 6: Final answer
    x = 342.59

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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.