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Finding the Fourth Proportional to 133.51, 199.20 and 118.89

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Solution

The fourth proportional to 133.51, 199.20 and 118.89 is: 177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.51 : 199.20 = 118.89 : x
  2. Step 2: Convert to fraction form
    133.51/199.20 = 118.89/x
  3. Step 3: Cross multiply
    133.51x = 199.20 × 118.89
  4. Step 4: Simplify right side
    133.51x = 23,682.89
  5. Step 5: Solve for x
    x = 23,682.89/133.51
  6. Step 6: Final answer
    x = 177.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.