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Finding the Fourth Proportional to 134.37, 184.85 and 109.76

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Solution

The fourth proportional to 134.37, 184.85 and 109.76 is: 150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.37 : 184.85 = 109.76 : x
  2. Step 2: Convert to fraction form
    134.37/184.85 = 109.76/x
  3. Step 3: Cross multiply
    134.37x = 184.85 × 109.76
  4. Step 4: Simplify right side
    134.37x = 20,288.21
  5. Step 5: Solve for x
    x = 20,288.21/134.37
  6. Step 6: Final answer
    x = 150.99

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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.