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Finding the Fourth Proportional to 235.96, 354.01 and 89.78

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Solution

The fourth proportional to 235.96, 354.01 and 89.78 is: 134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.96 : 354.01 = 89.78 : x
  2. Step 2: Convert to fraction form
    235.96/354.01 = 89.78/x
  3. Step 3: Cross multiply
    235.96x = 354.01 × 89.78
  4. Step 4: Simplify right side
    235.96x = 31,781.19
  5. Step 5: Solve for x
    x = 31,781.19/235.96
  6. Step 6: Final answer
    x = 134.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.