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Finding the Fourth Proportional to 188.12, 281.64 and 177.68

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Solution

The fourth proportional to 188.12, 281.64 and 177.68 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.12 : 281.64 = 177.68 : x
  2. Step 2: Convert to fraction form
    188.12/281.64 = 177.68/x
  3. Step 3: Cross multiply
    188.12x = 281.64 × 177.68
  4. Step 4: Simplify right side
    188.12x = 50,041.80
  5. Step 5: Solve for x
    x = 50,041.80/188.12
  6. Step 6: Final answer
    x = 266.01

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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.