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Finding the Fourth Proportional to 278.85, 417.60 and 224.85

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Solution

The fourth proportional to 278.85, 417.60 and 224.85 is: 336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.85 : 417.60 = 224.85 : x
  2. Step 2: Convert to fraction form
    278.85/417.60 = 224.85/x
  3. Step 3: Cross multiply
    278.85x = 417.60 × 224.85
  4. Step 4: Simplify right side
    278.85x = 93,897.36
  5. Step 5: Solve for x
    x = 93,897.36/278.85
  6. Step 6: Final answer
    x = 336.73

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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.