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Finding the Fourth Proportional to 134.74, 185.80 and 91.00

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Solution

The fourth proportional to 134.74, 185.80 and 91.00 is: 125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.74 : 185.80 = 91.00 : x
  2. Step 2: Convert to fraction form
    134.74/185.80 = 91.00/x
  3. Step 3: Cross multiply
    134.74x = 185.80 × 91.00
  4. Step 4: Simplify right side
    134.74x = 16,908.04
  5. Step 5: Solve for x
    x = 16,908.04/134.74
  6. Step 6: Final answer
    x = 125.48

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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.