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Finding the Fourth Proportional to 134.16, 199.89 and 126.30

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Solution

The fourth proportional to 134.16, 199.89 and 126.30 is: 188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 199.89 = 126.30 : x
  2. Step 2: Convert to fraction form
    134.16/199.89 = 126.30/x
  3. Step 3: Cross multiply
    134.16x = 199.89 × 126.30
  4. Step 4: Simplify right side
    134.16x = 25,245.81
  5. Step 5: Solve for x
    x = 25,245.81/134.16
  6. Step 6: Final answer
    x = 188.18

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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.