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Finding the Fourth Proportional to 278.93, 417.17 and 163.10

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Solution

The fourth proportional to 278.93, 417.17 and 163.10 is: 243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 417.17 = 163.10 : x
  2. Step 2: Convert to fraction form
    278.93/417.17 = 163.10/x
  3. Step 3: Cross multiply
    278.93x = 417.17 × 163.10
  4. Step 4: Simplify right side
    278.93x = 68,038.75
  5. Step 5: Solve for x
    x = 68,038.75/278.93
  6. Step 6: Final answer
    x = 243.93

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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.