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Finding the Fourth Proportional to 278.13, 413.68 and 272.66

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Solution

The fourth proportional to 278.13, 413.68 and 272.66 is: 405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.13 : 413.68 = 272.66 : x
  2. Step 2: Convert to fraction form
    278.13/413.68 = 272.66/x
  3. Step 3: Cross multiply
    278.13x = 413.68 × 272.66
  4. Step 4: Simplify right side
    278.13x = 112,792.63
  5. Step 5: Solve for x
    x = 112,792.63/278.13
  6. Step 6: Final answer
    x = 405.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.