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Finding the Fourth Proportional to 278.08, 416.89 and 139.18

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Solution

The fourth proportional to 278.08, 416.89 and 139.18 is: 208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 416.89 = 139.18 : x
  2. Step 2: Convert to fraction form
    278.08/416.89 = 139.18/x
  3. Step 3: Cross multiply
    278.08x = 416.89 × 139.18
  4. Step 4: Simplify right side
    278.08x = 58,022.75
  5. Step 5: Solve for x
    x = 58,022.75/278.08
  6. Step 6: Final answer
    x = 208.66

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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.