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Finding the Fourth Proportional to 134.78, 184.90 and 133.72

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Solution

The fourth proportional to 134.78, 184.90 and 133.72 is: 183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.78 : 184.90 = 133.72 : x
  2. Step 2: Convert to fraction form
    134.78/184.90 = 133.72/x
  3. Step 3: Cross multiply
    134.78x = 184.90 × 133.72
  4. Step 4: Simplify right side
    134.78x = 24,724.83
  5. Step 5: Solve for x
    x = 24,724.83/134.78
  6. Step 6: Final answer
    x = 183.45

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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.