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Finding the Fourth Proportional to 133.04, 183.23 and 114.61

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Solution

The fourth proportional to 133.04, 183.23 and 114.61 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.04 : 183.23 = 114.61 : x
  2. Step 2: Convert to fraction form
    133.04/183.23 = 114.61/x
  3. Step 3: Cross multiply
    133.04x = 183.23 × 114.61
  4. Step 4: Simplify right side
    133.04x = 21,000.16
  5. Step 5: Solve for x
    x = 21,000.16/133.04
  6. Step 6: Final answer
    x = 157.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.