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Finding the Fourth Proportional to 188.21, 282.32 and 130.27

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Solution

The fourth proportional to 188.21, 282.32 and 130.27 is: 195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.21 : 282.32 = 130.27 : x
  2. Step 2: Convert to fraction form
    188.21/282.32 = 130.27/x
  3. Step 3: Cross multiply
    188.21x = 282.32 × 130.27
  4. Step 4: Simplify right side
    188.21x = 36,776.47
  5. Step 5: Solve for x
    x = 36,776.47/188.21
  6. Step 6: Final answer
    x = 195.40

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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.