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Finding the Fourth Proportional to 278.15, 415.70 and 256.25

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Solution

The fourth proportional to 278.15, 415.70 and 256.25 is: 382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 415.70 = 256.25 : x
  2. Step 2: Convert to fraction form
    278.15/415.70 = 256.25/x
  3. Step 3: Cross multiply
    278.15x = 415.70 × 256.25
  4. Step 4: Simplify right side
    278.15x = 106,519.77
  5. Step 5: Solve for x
    x = 106,519.77/278.15
  6. Step 6: Final answer
    x = 382.96

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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.