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Finding the Fourth Proportional to 235.20, 324.64 and 142

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Solution

The fourth proportional to 235.20, 324.64 and 142 is: 196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.20 : 324.64 = 142 : x
  2. Step 2: Convert to fraction form
    235.20/324.64 = 142/x
  3. Step 3: Cross multiply
    235.20x = 324.64 × 142
  4. Step 4: Simplify right side
    235.20x = 46,098.88
  5. Step 5: Solve for x
    x = 46,098.88/235.20
  6. Step 6: Final answer
    x = 196.00

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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.