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Finding the Fourth Proportional to 188.19, 281.07 and 149.72

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Solution

The fourth proportional to 188.19, 281.07 and 149.72 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 281.07 = 149.72 : x
  2. Step 2: Convert to fraction form
    188.19/281.07 = 149.72/x
  3. Step 3: Cross multiply
    188.19x = 281.07 × 149.72
  4. Step 4: Simplify right side
    188.19x = 42,080.40
  5. Step 5: Solve for x
    x = 42,080.40/188.19
  6. Step 6: Final answer
    x = 223.61

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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.