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Finding the Fourth Proportional to 278.63, 383.49 and 256.76

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Solution

The fourth proportional to 278.63, 383.49 and 256.76 is: 353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.63 : 383.49 = 256.76 : x
  2. Step 2: Convert to fraction form
    278.63/383.49 = 256.76/x
  3. Step 3: Cross multiply
    278.63x = 383.49 × 256.76
  4. Step 4: Simplify right side
    278.63x = 98,464.89
  5. Step 5: Solve for x
    x = 98,464.89/278.63
  6. Step 6: Final answer
    x = 353.39

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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.