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Finding the Fourth Proportional to 188.67, 258.65 and 185.82

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Solution

The fourth proportional to 188.67, 258.65 and 185.82 is: 254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.67 : 258.65 = 185.82 : x
  2. Step 2: Convert to fraction form
    188.67/258.65 = 185.82/x
  3. Step 3: Cross multiply
    188.67x = 258.65 × 185.82
  4. Step 4: Simplify right side
    188.67x = 48,061.41
  5. Step 5: Solve for x
    x = 48,061.41/188.67
  6. Step 6: Final answer
    x = 254.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.