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Finding the Fourth Proportional to 235.10, 352.45 and 189.34

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Solution

The fourth proportional to 235.10, 352.45 and 189.34 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 352.45 = 189.34 : x
  2. Step 2: Convert to fraction form
    235.10/352.45 = 189.34/x
  3. Step 3: Cross multiply
    235.10x = 352.45 × 189.34
  4. Step 4: Simplify right side
    235.10x = 66,732.24
  5. Step 5: Solve for x
    x = 66,732.24/235.10
  6. Step 6: Final answer
    x = 283.84

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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.