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Finding the Fourth Proportional to 324.13, 486.23 and 93.02

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Solution

The fourth proportional to 324.13, 486.23 and 93.02 is: 139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.13 : 486.23 = 93.02 : x
  2. Step 2: Convert to fraction form
    324.13/486.23 = 93.02/x
  3. Step 3: Cross multiply
    324.13x = 486.23 × 93.02
  4. Step 4: Simplify right side
    324.13x = 45,229.11
  5. Step 5: Solve for x
    x = 45,229.11/324.13
  6. Step 6: Final answer
    x = 139.54

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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.