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Finding the Fourth Proportional to 324.83, 488.99 and 296.12

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Solution

The fourth proportional to 324.83, 488.99 and 296.12 is: 445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.83 : 488.99 = 296.12 : x
  2. Step 2: Convert to fraction form
    324.83/488.99 = 296.12/x
  3. Step 3: Cross multiply
    324.83x = 488.99 × 296.12
  4. Step 4: Simplify right side
    324.83x = 144,795.79
  5. Step 5: Solve for x
    x = 144,795.79/324.83
  6. Step 6: Final answer
    x = 445.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.