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Finding the Fourth Proportional to 188.61, 282.31 and 142.64

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Solution

The fourth proportional to 188.61, 282.31 and 142.64 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.61 : 282.31 = 142.64 : x
  2. Step 2: Convert to fraction form
    188.61/282.31 = 142.64/x
  3. Step 3: Cross multiply
    188.61x = 282.31 × 142.64
  4. Step 4: Simplify right side
    188.61x = 40,269.05
  5. Step 5: Solve for x
    x = 40,269.05/188.61
  6. Step 6: Final answer
    x = 213.50

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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.