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Finding the Fourth Proportional to 134.40, 184.56 and 127.84

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Solution

The fourth proportional to 134.40, 184.56 and 127.84 is: 175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 184.56 = 127.84 : x
  2. Step 2: Convert to fraction form
    134.40/184.56 = 127.84/x
  3. Step 3: Cross multiply
    134.40x = 184.56 × 127.84
  4. Step 4: Simplify right side
    134.40x = 23,594.15
  5. Step 5: Solve for x
    x = 23,594.15/134.40
  6. Step 6: Final answer
    x = 175.55

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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.