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Finding the Fourth Proportional to 134.55, 184.59 and 122.40

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Solution

The fourth proportional to 134.55, 184.59 and 122.40 is: 167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.55 : 184.59 = 122.40 : x
  2. Step 2: Convert to fraction form
    134.55/184.59 = 122.40/x
  3. Step 3: Cross multiply
    134.55x = 184.59 × 122.40
  4. Step 4: Simplify right side
    134.55x = 22,593.82
  5. Step 5: Solve for x
    x = 22,593.82/134.55
  6. Step 6: Final answer
    x = 167.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.