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Finding the Fourth Proportional to 279.95, 417.81 and 272.66

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Solution

The fourth proportional to 279.95, 417.81 and 272.66 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.95 : 417.81 = 272.66 : x
  2. Step 2: Convert to fraction form
    279.95/417.81 = 272.66/x
  3. Step 3: Cross multiply
    279.95x = 417.81 × 272.66
  4. Step 4: Simplify right side
    279.95x = 113,919.18
  5. Step 5: Solve for x
    x = 113,919.18/279.95
  6. Step 6: Final answer
    x = 406.93

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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.