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Finding the Fourth Proportional to 278.08, 385.72 and 271.24

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Solution

The fourth proportional to 278.08, 385.72 and 271.24 is: 376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 385.72 = 271.24 : x
  2. Step 2: Convert to fraction form
    278.08/385.72 = 271.24/x
  3. Step 3: Cross multiply
    278.08x = 385.72 × 271.24
  4. Step 4: Simplify right side
    278.08x = 104,622.69
  5. Step 5: Solve for x
    x = 104,622.69/278.08
  6. Step 6: Final answer
    x = 376.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.