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Finding the Fourth Proportional to 188.19, 282.39 and 106.10

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Solution

The fourth proportional to 188.19, 282.39 and 106.10 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 282.39 = 106.10 : x
  2. Step 2: Convert to fraction form
    188.19/282.39 = 106.10/x
  3. Step 3: Cross multiply
    188.19x = 282.39 × 106.10
  4. Step 4: Simplify right side
    188.19x = 29,961.58
  5. Step 5: Solve for x
    x = 29,961.58/188.19
  6. Step 6: Final answer
    x = 159.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.