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Finding the Fourth Proportional to 235.43, 324.86 and 131.93

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Solution

The fourth proportional to 235.43, 324.86 and 131.93 is: 182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.43 : 324.86 = 131.93 : x
  2. Step 2: Convert to fraction form
    235.43/324.86 = 131.93/x
  3. Step 3: Cross multiply
    235.43x = 324.86 × 131.93
  4. Step 4: Simplify right side
    235.43x = 42,856.50
  5. Step 5: Solve for x
    x = 42,856.50/235.43
  6. Step 6: Final answer
    x = 182.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.