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Finding the Fourth Proportional to 278.97, 420.51 and 254.67

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Solution

The fourth proportional to 278.97, 420.51 and 254.67 is: 383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 420.51 = 254.67 : x
  2. Step 2: Convert to fraction form
    278.97/420.51 = 254.67/x
  3. Step 3: Cross multiply
    278.97x = 420.51 × 254.67
  4. Step 4: Simplify right side
    278.97x = 107,091.28
  5. Step 5: Solve for x
    x = 107,091.28/278.97
  6. Step 6: Final answer
    x = 383.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.