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Finding the Fourth Proportional to 279.74, 416.34 and 277.52

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Solution

The fourth proportional to 279.74, 416.34 and 277.52 is: 413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.74 : 416.34 = 277.52 : x
  2. Step 2: Convert to fraction form
    279.74/416.34 = 277.52/x
  3. Step 3: Cross multiply
    279.74x = 416.34 × 277.52
  4. Step 4: Simplify right side
    279.74x = 115,540.60
  5. Step 5: Solve for x
    x = 115,540.60/279.74
  6. Step 6: Final answer
    x = 413.04

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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.