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Finding the Fourth Proportional to 279.24, 413.64 and 278.76

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Solution

The fourth proportional to 279.24, 413.64 and 278.76 is: 412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.24 : 413.64 = 278.76 : x
  2. Step 2: Convert to fraction form
    279.24/413.64 = 278.76/x
  3. Step 3: Cross multiply
    279.24x = 413.64 × 278.76
  4. Step 4: Simplify right side
    279.24x = 115,306.29
  5. Step 5: Solve for x
    x = 115,306.29/279.24
  6. Step 6: Final answer
    x = 412.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.