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Finding the Fourth Proportional to 279.70, 417 and 272.49

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Solution

The fourth proportional to 279.70, 417 and 272.49 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.70 : 417 = 272.49 : x
  2. Step 2: Convert to fraction form
    279.70/417 = 272.49/x
  3. Step 3: Cross multiply
    279.70x = 417 × 272.49
  4. Step 4: Simplify right side
    279.70x = 113,628.33
  5. Step 5: Solve for x
    x = 113,628.33/279.70
  6. Step 6: Final answer
    x = 406.25

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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.