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Finding the Fourth Proportional to 189.19, 282.20 and 158.41

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Solution

The fourth proportional to 189.19, 282.20 and 158.41 is: 236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.19 : 282.20 = 158.41 : x
  2. Step 2: Convert to fraction form
    189.19/282.20 = 158.41/x
  3. Step 3: Cross multiply
    189.19x = 282.20 × 158.41
  4. Step 4: Simplify right side
    189.19x = 44,703.30
  5. Step 5: Solve for x
    x = 44,703.30/189.19
  6. Step 6: Final answer
    x = 236.29

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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.