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Finding the Fourth Proportional to 133.31, 183.53 and 114.80

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Solution

The fourth proportional to 133.31, 183.53 and 114.80 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.31 : 183.53 = 114.80 : x
  2. Step 2: Convert to fraction form
    133.31/183.53 = 114.80/x
  3. Step 3: Cross multiply
    133.31x = 183.53 × 114.80
  4. Step 4: Simplify right side
    133.31x = 21,068.61
  5. Step 5: Solve for x
    x = 21,068.61/133.31
  6. Step 6: Final answer
    x = 158.04

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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.