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Finding the Fourth Proportional to 188.87, 281.66 and 178.63

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Solution

The fourth proportional to 188.87, 281.66 and 178.63 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.87 : 281.66 = 178.63 : x
  2. Step 2: Convert to fraction form
    188.87/281.66 = 178.63/x
  3. Step 3: Cross multiply
    188.87x = 281.66 × 178.63
  4. Step 4: Simplify right side
    188.87x = 50,312.93
  5. Step 5: Solve for x
    x = 50,312.93/188.87
  6. Step 6: Final answer
    x = 266.39

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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.