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Finding the Fourth Proportional to 188.76, 281.40 and 180.12

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Solution

The fourth proportional to 188.76, 281.40 and 180.12 is: 268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.76 : 281.40 = 180.12 : x
  2. Step 2: Convert to fraction form
    188.76/281.40 = 180.12/x
  3. Step 3: Cross multiply
    188.76x = 281.40 × 180.12
  4. Step 4: Simplify right side
    188.76x = 50,685.77
  5. Step 5: Solve for x
    x = 50,685.77/188.76
  6. Step 6: Final answer
    x = 268.52

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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.