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Finding the Fourth Proportional to 235.50, 324.90 and 142.28

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Solution

The fourth proportional to 235.50, 324.90 and 142.28 is: 196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.50 : 324.90 = 142.28 : x
  2. Step 2: Convert to fraction form
    235.50/324.90 = 142.28/x
  3. Step 3: Cross multiply
    235.50x = 324.90 × 142.28
  4. Step 4: Simplify right side
    235.50x = 46,226.77
  5. Step 5: Solve for x
    x = 46,226.77/235.50
  6. Step 6: Final answer
    x = 196.29

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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.