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Finding the Fourth Proportional to 324.92, 484.40 and 288.20

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Solution

The fourth proportional to 324.92, 484.40 and 288.20 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.92 : 484.40 = 288.20 : x
  2. Step 2: Convert to fraction form
    324.92/484.40 = 288.20/x
  3. Step 3: Cross multiply
    324.92x = 484.40 × 288.20
  4. Step 4: Simplify right side
    324.92x = 139,604.08
  5. Step 5: Solve for x
    x = 139,604.08/324.92
  6. Step 6: Final answer
    x = 429.66

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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.