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Finding the Fourth Proportional to 194.60, 291.90 and 72.86

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Solution

The fourth proportional to 194.60, 291.90 and 72.86 is: 109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.60 : 291.90 = 72.86 : x
  2. Step 2: Convert to fraction form
    194.60/291.90 = 72.86/x
  3. Step 3: Cross multiply
    194.60x = 291.90 × 72.86
  4. Step 4: Simplify right side
    194.60x = 21,267.83
  5. Step 5: Solve for x
    x = 21,267.83/194.60
  6. Step 6: Final answer
    x = 109.29

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