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Finding the Fourth Proportional to 188.73, 281.85 and 158.06

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Solution

The fourth proportional to 188.73, 281.85 and 158.06 is: 236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.73 : 281.85 = 158.06 : x
  2. Step 2: Convert to fraction form
    188.73/281.85 = 158.06/x
  3. Step 3: Cross multiply
    188.73x = 281.85 × 158.06
  4. Step 4: Simplify right side
    188.73x = 44,549.32
  5. Step 5: Solve for x
    x = 44,549.32/188.73
  6. Step 6: Final answer
    x = 236.05

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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.