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Finding the Fourth Proportional to 134.31, 184.91 and 115.80

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Solution

The fourth proportional to 134.31, 184.91 and 115.80 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.31 : 184.91 = 115.80 : x
  2. Step 2: Convert to fraction form
    134.31/184.91 = 115.80/x
  3. Step 3: Cross multiply
    134.31x = 184.91 × 115.80
  4. Step 4: Simplify right side
    134.31x = 21,412.58
  5. Step 5: Solve for x
    x = 21,412.58/134.31
  6. Step 6: Final answer
    x = 159.43

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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.