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Finding the Fourth Proportional to 133.96, 184.90 and 89.77

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Solution

The fourth proportional to 133.96, 184.90 and 89.77 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.96 : 184.90 = 89.77 : x
  2. Step 2: Convert to fraction form
    133.96/184.90 = 89.77/x
  3. Step 3: Cross multiply
    133.96x = 184.90 × 89.77
  4. Step 4: Simplify right side
    133.96x = 16,597.10
  5. Step 5: Solve for x
    x = 16,597.10/133.96
  6. Step 6: Final answer
    x = 123.90

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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.