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Finding the Fourth Proportional to 279.81, 417.22 and 279.27

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Solution

The fourth proportional to 279.81, 417.22 and 279.27 is: 416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.81 : 417.22 = 279.27 : x
  2. Step 2: Convert to fraction form
    279.81/417.22 = 279.27/x
  3. Step 3: Cross multiply
    279.81x = 417.22 × 279.27
  4. Step 4: Simplify right side
    279.81x = 116,516.33
  5. Step 5: Solve for x
    x = 116,516.33/279.81
  6. Step 6: Final answer
    x = 416.41

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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.