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Finding the Fourth Proportional to 189.76, 283.92 and 135.22

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Solution

The fourth proportional to 189.76, 283.92 and 135.22 is: 202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.76 : 283.92 = 135.22 : x
  2. Step 2: Convert to fraction form
    189.76/283.92 = 135.22/x
  3. Step 3: Cross multiply
    189.76x = 283.92 × 135.22
  4. Step 4: Simplify right side
    189.76x = 38,391.66
  5. Step 5: Solve for x
    x = 38,391.66/189.76
  6. Step 6: Final answer
    x = 202.32

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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.