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Finding the Fourth Proportional to 324.25, 484.17 and 266.59

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Solution

The fourth proportional to 324.25, 484.17 and 266.59 is: 398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.25 : 484.17 = 266.59 : x
  2. Step 2: Convert to fraction form
    324.25/484.17 = 266.59/x
  3. Step 3: Cross multiply
    324.25x = 484.17 × 266.59
  4. Step 4: Simplify right side
    324.25x = 129,071.13
  5. Step 5: Solve for x
    x = 129,071.13/324.25
  6. Step 6: Final answer
    x = 398.07

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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.