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Finding the Fourth Proportional to 188.22, 280.88 and 180.30

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Solution

The fourth proportional to 188.22, 280.88 and 180.30 is: 269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.22 : 280.88 = 180.30 : x
  2. Step 2: Convert to fraction form
    188.22/280.88 = 180.30/x
  3. Step 3: Cross multiply
    188.22x = 280.88 × 180.30
  4. Step 4: Simplify right side
    188.22x = 50,641.76
  5. Step 5: Solve for x
    x = 50,641.76/188.22
  6. Step 6: Final answer
    x = 269.06

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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.