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Finding the Fourth Proportional to 324.01, 485.74 and 131.77

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Solution

The fourth proportional to 324.01, 485.74 and 131.77 is: 197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.01 : 485.74 = 131.77 : x
  2. Step 2: Convert to fraction form
    324.01/485.74 = 131.77/x
  3. Step 3: Cross multiply
    324.01x = 485.74 × 131.77
  4. Step 4: Simplify right side
    324.01x = 64,005.96
  5. Step 5: Solve for x
    x = 64,005.96/324.01
  6. Step 6: Final answer
    x = 197.54

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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.