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Finding the Fourth Proportional to 322.79, 481.84 and 279.77

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Solution

The fourth proportional to 322.79, 481.84 and 279.77 is: 417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 481.84 = 279.77 : x
  2. Step 2: Convert to fraction form
    322.79/481.84 = 279.77/x
  3. Step 3: Cross multiply
    322.79x = 481.84 × 279.77
  4. Step 4: Simplify right side
    322.79x = 134,801.27
  5. Step 5: Solve for x
    x = 134,801.27/322.79
  6. Step 6: Final answer
    x = 417.61

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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.