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Finding the Fourth Proportional to 188.13, 281.10 and 143.96

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Solution

The fourth proportional to 188.13, 281.10 and 143.96 is: 215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.13 : 281.10 = 143.96 : x
  2. Step 2: Convert to fraction form
    188.13/281.10 = 143.96/x
  3. Step 3: Cross multiply
    188.13x = 281.10 × 143.96
  4. Step 4: Simplify right side
    188.13x = 40,467.16
  5. Step 5: Solve for x
    x = 40,467.16/188.13
  6. Step 6: Final answer
    x = 215.10

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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.