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Finding the Fourth Proportional to 235.39, 352.99 and 89.12

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Solution

The fourth proportional to 235.39, 352.99 and 89.12 is: 133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.39 : 352.99 = 89.12 : x
  2. Step 2: Convert to fraction form
    235.39/352.99 = 89.12/x
  3. Step 3: Cross multiply
    235.39x = 352.99 × 89.12
  4. Step 4: Simplify right side
    235.39x = 31,457.14
  5. Step 5: Solve for x
    x = 31,457.14/235.39
  6. Step 6: Final answer
    x = 133.64

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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.