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Finding the Fourth Proportional to 324.88, 484.66 and 296.96

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Solution

The fourth proportional to 324.88, 484.66 and 296.96 is: 443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.88 : 484.66 = 296.96 : x
  2. Step 2: Convert to fraction form
    324.88/484.66 = 296.96/x
  3. Step 3: Cross multiply
    324.88x = 484.66 × 296.96
  4. Step 4: Simplify right side
    324.88x = 143,924.63
  5. Step 5: Solve for x
    x = 143,924.63/324.88
  6. Step 6: Final answer
    x = 443.01

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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.