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Finding the Fourth Proportional to 105.30, 158.57 and 91.94

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Solution

The fourth proportional to 105.30, 158.57 and 91.94 is: 138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 158.57 = 91.94 : x
  2. Step 2: Convert to fraction form
    105.30/158.57 = 91.94/x
  3. Step 3: Cross multiply
    105.30x = 158.57 × 91.94
  4. Step 4: Simplify right side
    105.30x = 14,577.67
  5. Step 5: Solve for x
    x = 14,577.67/105.30
  6. Step 6: Final answer
    x = 138.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.