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Finding the Fourth Proportional to 188.69, 281.63 and 177.15

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Solution

The fourth proportional to 188.69, 281.63 and 177.15 is: 264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.69 : 281.63 = 177.15 : x
  2. Step 2: Convert to fraction form
    188.69/281.63 = 177.15/x
  3. Step 3: Cross multiply
    188.69x = 281.63 × 177.15
  4. Step 4: Simplify right side
    188.69x = 49,889.87
  5. Step 5: Solve for x
    x = 49,889.87/188.69
  6. Step 6: Final answer
    x = 264.41

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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.