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Finding the Fourth Proportional to 324.70, 484.66 and 279.34

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Solution

The fourth proportional to 324.70, 484.66 and 279.34 is: 416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.70 : 484.66 = 279.34 : x
  2. Step 2: Convert to fraction form
    324.70/484.66 = 279.34/x
  3. Step 3: Cross multiply
    324.70x = 484.66 × 279.34
  4. Step 4: Simplify right side
    324.70x = 135,384.92
  5. Step 5: Solve for x
    x = 135,384.92/324.70
  6. Step 6: Final answer
    x = 416.95

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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.