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Finding the Fourth Proportional to 279.96, 417.25 and 277.72

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Solution

The fourth proportional to 279.96, 417.25 and 277.72 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.96 : 417.25 = 277.72 : x
  2. Step 2: Convert to fraction form
    279.96/417.25 = 277.72/x
  3. Step 3: Cross multiply
    279.96x = 417.25 × 277.72
  4. Step 4: Simplify right side
    279.96x = 115,878.67
  5. Step 5: Solve for x
    x = 115,878.67/279.96
  6. Step 6: Final answer
    x = 413.91

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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.