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Finding the Fourth Proportional to 278.65, 417.72 and 255.59

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Solution

The fourth proportional to 278.65, 417.72 and 255.59 is: 383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.65 : 417.72 = 255.59 : x
  2. Step 2: Convert to fraction form
    278.65/417.72 = 255.59/x
  3. Step 3: Cross multiply
    278.65x = 417.72 × 255.59
  4. Step 4: Simplify right side
    278.65x = 106,765.49
  5. Step 5: Solve for x
    x = 106,765.49/278.65
  6. Step 6: Final answer
    x = 383.15

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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.