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Finding the Fourth Proportional to 324.59, 486.72 and 105.14

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Solution

The fourth proportional to 324.59, 486.72 and 105.14 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.59 : 486.72 = 105.14 : x
  2. Step 2: Convert to fraction form
    324.59/486.72 = 105.14/x
  3. Step 3: Cross multiply
    324.59x = 486.72 × 105.14
  4. Step 4: Simplify right side
    324.59x = 51,174.96
  5. Step 5: Solve for x
    x = 51,174.96/324.59
  6. Step 6: Final answer
    x = 157.66

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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.