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Finding the Fourth Proportional to 235.72, 352.14 and 187.68

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Solution

The fourth proportional to 235.72, 352.14 and 187.68 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 352.14 = 187.68 : x
  2. Step 2: Convert to fraction form
    235.72/352.14 = 187.68/x
  3. Step 3: Cross multiply
    235.72x = 352.14 × 187.68
  4. Step 4: Simplify right side
    235.72x = 66,089.64
  5. Step 5: Solve for x
    x = 66,089.64/235.72
  6. Step 6: Final answer
    x = 280.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.