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Finding the Fourth Proportional to 188.32, 282.40 and 147.66

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Solution

The fourth proportional to 188.32, 282.40 and 147.66 is: 221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.32 : 282.40 = 147.66 : x
  2. Step 2: Convert to fraction form
    188.32/282.40 = 147.66/x
  3. Step 3: Cross multiply
    188.32x = 282.40 × 147.66
  4. Step 4: Simplify right side
    188.32x = 41,697.03
  5. Step 5: Solve for x
    x = 41,697.03/188.32
  6. Step 6: Final answer
    x = 221.42

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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.