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Finding the Fourth Proportional to 278.02, 414.29 and 259.80

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Solution

The fourth proportional to 278.02, 414.29 and 259.80 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 414.29 = 259.80 : x
  2. Step 2: Convert to fraction form
    278.02/414.29 = 259.80/x
  3. Step 3: Cross multiply
    278.02x = 414.29 × 259.80
  4. Step 4: Simplify right side
    278.02x = 107,632.54
  5. Step 5: Solve for x
    x = 107,632.54/278.02
  6. Step 6: Final answer
    x = 387.14

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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.