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Finding the Fourth Proportional to 188.58, 281.58 and 162.91

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Solution

The fourth proportional to 188.58, 281.58 and 162.91 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.58 : 281.58 = 162.91 : x
  2. Step 2: Convert to fraction form
    188.58/281.58 = 162.91/x
  3. Step 3: Cross multiply
    188.58x = 281.58 × 162.91
  4. Step 4: Simplify right side
    188.58x = 45,871.94
  5. Step 5: Solve for x
    x = 45,871.94/188.58
  6. Step 6: Final answer
    x = 243.25

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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.