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Finding the Fourth Proportional to 188.30, 282.72 and 139.70

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Solution

The fourth proportional to 188.30, 282.72 and 139.70 is: 209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.30 : 282.72 = 139.70 : x
  2. Step 2: Convert to fraction form
    188.30/282.72 = 139.70/x
  3. Step 3: Cross multiply
    188.30x = 282.72 × 139.70
  4. Step 4: Simplify right side
    188.30x = 39,494.57
  5. Step 5: Solve for x
    x = 39,494.57/188.30
  6. Step 6: Final answer
    x = 209.75

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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.