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Finding the Fourth Proportional to 278.47, 417.71 and 163.72

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Solution

The fourth proportional to 278.47, 417.71 and 163.72 is: 245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.47 : 417.71 = 163.72 : x
  2. Step 2: Convert to fraction form
    278.47/417.71 = 163.72/x
  3. Step 3: Cross multiply
    278.47x = 417.71 × 163.72
  4. Step 4: Simplify right side
    278.47x = 68,387.48
  5. Step 5: Solve for x
    x = 68,387.48/278.47
  6. Step 6: Final answer
    x = 245.58

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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.