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Finding the Fourth Proportional to 189.91, 283.28 and 161.20

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Solution

The fourth proportional to 189.91, 283.28 and 161.20 is: 240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.91 : 283.28 = 161.20 : x
  2. Step 2: Convert to fraction form
    189.91/283.28 = 161.20/x
  3. Step 3: Cross multiply
    189.91x = 283.28 × 161.20
  4. Step 4: Simplify right side
    189.91x = 45,664.28
  5. Step 5: Solve for x
    x = 45,664.28/189.91
  6. Step 6: Final answer
    x = 240.45

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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.