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Finding the Fourth Proportional to 278.67, 417.66 and 163

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Solution

The fourth proportional to 278.67, 417.66 and 163 is: 244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 417.66 = 163 : x
  2. Step 2: Convert to fraction form
    278.67/417.66 = 163/x
  3. Step 3: Cross multiply
    278.67x = 417.66 × 163
  4. Step 4: Simplify right side
    278.67x = 68,078.58
  5. Step 5: Solve for x
    x = 68,078.58/278.67
  6. Step 6: Final answer
    x = 244.30

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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.