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Finding the Fourth Proportional to 134.86, 201.33 and 110.83

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Solution

The fourth proportional to 134.86, 201.33 and 110.83 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.86 : 201.33 = 110.83 : x
  2. Step 2: Convert to fraction form
    134.86/201.33 = 110.83/x
  3. Step 3: Cross multiply
    134.86x = 201.33 × 110.83
  4. Step 4: Simplify right side
    134.86x = 22,313.40
  5. Step 5: Solve for x
    x = 22,313.40/134.86
  6. Step 6: Final answer
    x = 165.46

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Why These Related Problems?

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