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Finding the Fourth Proportional to 188.86, 281.42 and 180.58

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Solution

The fourth proportional to 188.86, 281.42 and 180.58 is: 269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 281.42 = 180.58 : x
  2. Step 2: Convert to fraction form
    188.86/281.42 = 180.58/x
  3. Step 3: Cross multiply
    188.86x = 281.42 × 180.58
  4. Step 4: Simplify right side
    188.86x = 50,818.82
  5. Step 5: Solve for x
    x = 50,818.82/188.86
  6. Step 6: Final answer
    x = 269.08

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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.