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Finding the Fourth Proportional to 235.83, 325.43 and 142.65

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Solution

The fourth proportional to 235.83, 325.43 and 142.65 is: 196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.83 : 325.43 = 142.65 : x
  2. Step 2: Convert to fraction form
    235.83/325.43 = 142.65/x
  3. Step 3: Cross multiply
    235.83x = 325.43 × 142.65
  4. Step 4: Simplify right side
    235.83x = 46,422.59
  5. Step 5: Solve for x
    x = 46,422.59/235.83
  6. Step 6: Final answer
    x = 196.85

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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.