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Finding the Fourth Proportional to 275.96, 417.20 and 273.68

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Solution

The fourth proportional to 275.96, 417.20 and 273.68 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.96 : 417.20 = 273.68 : x
  2. Step 2: Convert to fraction form
    275.96/417.20 = 273.68/x
  3. Step 3: Cross multiply
    275.96x = 417.20 × 273.68
  4. Step 4: Simplify right side
    275.96x = 114,178.95
  5. Step 5: Solve for x
    x = 114,178.95/275.96
  6. Step 6: Final answer
    x = 413.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.