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Finding the Fourth Proportional to 278.57, 417.49 and 209.45

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Solution

The fourth proportional to 278.57, 417.49 and 209.45 is: 313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.57 : 417.49 = 209.45 : x
  2. Step 2: Convert to fraction form
    278.57/417.49 = 209.45/x
  3. Step 3: Cross multiply
    278.57x = 417.49 × 209.45
  4. Step 4: Simplify right side
    278.57x = 87,443.28
  5. Step 5: Solve for x
    x = 87,443.28/278.57
  6. Step 6: Final answer
    x = 313.90

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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.