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Finding the Fourth Proportional to 278.02, 385.25 and 271.64

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Solution

The fourth proportional to 278.02, 385.25 and 271.64 is: 376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 385.25 = 271.64 : x
  2. Step 2: Convert to fraction form
    278.02/385.25 = 271.64/x
  3. Step 3: Cross multiply
    278.02x = 385.25 × 271.64
  4. Step 4: Simplify right side
    278.02x = 104,649.31
  5. Step 5: Solve for x
    x = 104,649.31/278.02
  6. Step 6: Final answer
    x = 376.41

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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.