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Finding the Fourth Proportional to 278.01, 415.51 and 256.12

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Solution

The fourth proportional to 278.01, 415.51 and 256.12 is: 382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.01 : 415.51 = 256.12 : x
  2. Step 2: Convert to fraction form
    278.01/415.51 = 256.12/x
  3. Step 3: Cross multiply
    278.01x = 415.51 × 256.12
  4. Step 4: Simplify right side
    278.01x = 106,420.42
  5. Step 5: Solve for x
    x = 106,420.42/278.01
  6. Step 6: Final answer
    x = 382.79

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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.