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Finding the Fourth Proportional to 279.27, 417.66 and 248.64

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Solution

The fourth proportional to 279.27, 417.66 and 248.64 is: 371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.27 : 417.66 = 248.64 : x
  2. Step 2: Convert to fraction form
    279.27/417.66 = 248.64/x
  3. Step 3: Cross multiply
    279.27x = 417.66 × 248.64
  4. Step 4: Simplify right side
    279.27x = 103,845.74
  5. Step 5: Solve for x
    x = 103,845.74/279.27
  6. Step 6: Final answer
    x = 371.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.