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Finding the Fourth Proportional to 194.37, 291.14 and 91.50

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Solution

The fourth proportional to 194.37, 291.14 and 91.50 is: 137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.37 : 291.14 = 91.50 : x
  2. Step 2: Convert to fraction form
    194.37/291.14 = 91.50/x
  3. Step 3: Cross multiply
    194.37x = 291.14 × 91.50
  4. Step 4: Simplify right side
    194.37x = 26,640.04
  5. Step 5: Solve for x
    x = 26,640.04/194.37
  6. Step 6: Final answer
    x = 137.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.