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Finding the Fourth Proportional to 279.57, 417.19 and 248.89

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Solution

The fourth proportional to 279.57, 417.19 and 248.89 is: 371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.57 : 417.19 = 248.89 : x
  2. Step 2: Convert to fraction form
    279.57/417.19 = 248.89/x
  3. Step 3: Cross multiply
    279.57x = 417.19 × 248.89
  4. Step 4: Simplify right side
    279.57x = 103,834.42
  5. Step 5: Solve for x
    x = 103,834.42/279.57
  6. Step 6: Final answer
    x = 371.41

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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.