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Finding the Fourth Proportional to 133.15, 200.51 and 116.23

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Solution

The fourth proportional to 133.15, 200.51 and 116.23 is: 175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.15 : 200.51 = 116.23 : x
  2. Step 2: Convert to fraction form
    133.15/200.51 = 116.23/x
  3. Step 3: Cross multiply
    133.15x = 200.51 × 116.23
  4. Step 4: Simplify right side
    133.15x = 23,305.28
  5. Step 5: Solve for x
    x = 23,305.28/133.15
  6. Step 6: Final answer
    x = 175.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.