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Finding the Fourth Proportional to 278.08, 414.80 and 261.52

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Solution

The fourth proportional to 278.08, 414.80 and 261.52 is: 390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 414.80 = 261.52 : x
  2. Step 2: Convert to fraction form
    278.08/414.80 = 261.52/x
  3. Step 3: Cross multiply
    278.08x = 414.80 × 261.52
  4. Step 4: Simplify right side
    278.08x = 108,478.50
  5. Step 5: Solve for x
    x = 108,478.50/278.08
  6. Step 6: Final answer
    x = 390.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.