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Finding the Fourth Proportional to 133.29, 184.14 and 89.82

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Solution

The fourth proportional to 133.29, 184.14 and 89.82 is: 124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.29 : 184.14 = 89.82 : x
  2. Step 2: Convert to fraction form
    133.29/184.14 = 89.82/x
  3. Step 3: Cross multiply
    133.29x = 184.14 × 89.82
  4. Step 4: Simplify right side
    133.29x = 16,539.45
  5. Step 5: Solve for x
    x = 16,539.45/133.29
  6. Step 6: Final answer
    x = 124.09

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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.