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Finding the Fourth Proportional to 278.08, 416.40 and 261.88

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Solution

The fourth proportional to 278.08, 416.40 and 261.88 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 416.40 = 261.88 : x
  2. Step 2: Convert to fraction form
    278.08/416.40 = 261.88/x
  3. Step 3: Cross multiply
    278.08x = 416.40 × 261.88
  4. Step 4: Simplify right side
    278.08x = 109,046.83
  5. Step 5: Solve for x
    x = 109,046.83/278.08
  6. Step 6: Final answer
    x = 392.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.