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Finding the Fourth Proportional to 278.13, 416.65 and 209.73

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Solution

The fourth proportional to 278.13, 416.65 and 209.73 is: 314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.13 : 416.65 = 209.73 : x
  2. Step 2: Convert to fraction form
    278.13/416.65 = 209.73/x
  3. Step 3: Cross multiply
    278.13x = 416.65 × 209.73
  4. Step 4: Simplify right side
    278.13x = 87,384.00
  5. Step 5: Solve for x
    x = 87,384.00/278.13
  6. Step 6: Final answer
    x = 314.18

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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.