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Finding the Fourth Proportional to 188.90, 281.79 and 186.47

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Solution

The fourth proportional to 188.90, 281.79 and 186.47 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.90 : 281.79 = 186.47 : x
  2. Step 2: Convert to fraction form
    188.90/281.79 = 186.47/x
  3. Step 3: Cross multiply
    188.90x = 281.79 × 186.47
  4. Step 4: Simplify right side
    188.90x = 52,543.97
  5. Step 5: Solve for x
    x = 52,543.97/188.90
  6. Step 6: Final answer
    x = 278.16

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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.