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Finding the Fourth Proportional to 278.98, 417.28 and 163.14

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Solution

The fourth proportional to 278.98, 417.28 and 163.14 is: 244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.98 : 417.28 = 163.14 : x
  2. Step 2: Convert to fraction form
    278.98/417.28 = 163.14/x
  3. Step 3: Cross multiply
    278.98x = 417.28 × 163.14
  4. Step 4: Simplify right side
    278.98x = 68,072.16
  5. Step 5: Solve for x
    x = 68,072.16/278.98
  6. Step 6: Final answer
    x = 244.00

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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.