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Finding the Fourth Proportional to 324.80, 487.06 and 151.46

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Solution

The fourth proportional to 324.80, 487.06 and 151.46 is: 227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.80 : 487.06 = 151.46 : x
  2. Step 2: Convert to fraction form
    324.80/487.06 = 151.46/x
  3. Step 3: Cross multiply
    324.80x = 487.06 × 151.46
  4. Step 4: Simplify right side
    324.80x = 73,770.11
  5. Step 5: Solve for x
    x = 73,770.11/324.80
  6. Step 6: Final answer
    x = 227.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.