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Finding the Fourth Proportional to 278.71, 415.43 and 257.94

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Solution

The fourth proportional to 278.71, 415.43 and 257.94 is: 384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 415.43 = 257.94 : x
  2. Step 2: Convert to fraction form
    278.71/415.43 = 257.94/x
  3. Step 3: Cross multiply
    278.71x = 415.43 × 257.94
  4. Step 4: Simplify right side
    278.71x = 107,156.66
  5. Step 5: Solve for x
    x = 107,156.66/278.71
  6. Step 6: Final answer
    x = 384.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.