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Finding the Fourth Proportional to 97.95, 146.87 and 40.14

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Solution

The fourth proportional to 97.95, 146.87 and 40.14 is: 60.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.95 : 146.87 = 40.14 : x
  2. Step 2: Convert to fraction form
    97.95/146.87 = 40.14/x
  3. Step 3: Cross multiply
    97.95x = 146.87 × 40.14
  4. Step 4: Simplify right side
    97.95x = 5,895.16
  5. Step 5: Solve for x
    x = 5,895.16/97.95
  6. Step 6: Final answer
    x = 60.19

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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.