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Finding the Fourth Proportional to 98.10, 146.84 and 57.39

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Solution

The fourth proportional to 98.10, 146.84 and 57.39 is: 85.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.10 : 146.84 = 57.39 : x
  2. Step 2: Convert to fraction form
    98.10/146.84 = 57.39/x
  3. Step 3: Cross multiply
    98.10x = 146.84 × 57.39
  4. Step 4: Simplify right side
    98.10x = 8,426.86
  5. Step 5: Solve for x
    x = 8,426.86/98.10
  6. Step 6: Final answer
    x = 85.90

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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.