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Finding the Fourth Proportional to 189.25, 282.71 and 158.49

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Solution

The fourth proportional to 189.25, 282.71 and 158.49 is: 236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.25 : 282.71 = 158.49 : x
  2. Step 2: Convert to fraction form
    189.25/282.71 = 158.49/x
  3. Step 3: Cross multiply
    189.25x = 282.71 × 158.49
  4. Step 4: Simplify right side
    189.25x = 44,807.10
  5. Step 5: Solve for x
    x = 44,807.10/189.25
  6. Step 6: Final answer
    x = 236.76

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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.