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Finding the Fourth Proportional to 324.45, 486.27 and 142.02

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Solution

The fourth proportional to 324.45, 486.27 and 142.02 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.45 : 486.27 = 142.02 : x
  2. Step 2: Convert to fraction form
    324.45/486.27 = 142.02/x
  3. Step 3: Cross multiply
    324.45x = 486.27 × 142.02
  4. Step 4: Simplify right side
    324.45x = 69,060.07
  5. Step 5: Solve for x
    x = 69,060.07/324.45
  6. Step 6: Final answer
    x = 212.85

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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.