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Finding the Fourth Proportional to 188.36, 281.13 and 160.76

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Solution

The fourth proportional to 188.36, 281.13 and 160.76 is: 239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.36 : 281.13 = 160.76 : x
  2. Step 2: Convert to fraction form
    188.36/281.13 = 160.76/x
  3. Step 3: Cross multiply
    188.36x = 281.13 × 160.76
  4. Step 4: Simplify right side
    188.36x = 45,194.46
  5. Step 5: Solve for x
    x = 45,194.46/188.36
  6. Step 6: Final answer
    x = 239.94

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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.