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Finding the Fourth Proportional to 324.06, 487.02 and 311.94

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Solution

The fourth proportional to 324.06, 487.02 and 311.94 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.06 : 487.02 = 311.94 : x
  2. Step 2: Convert to fraction form
    324.06/487.02 = 311.94/x
  3. Step 3: Cross multiply
    324.06x = 487.02 × 311.94
  4. Step 4: Simplify right side
    324.06x = 151,921.02
  5. Step 5: Solve for x
    x = 151,921.02/324.06
  6. Step 6: Final answer
    x = 468.81

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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.