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Finding the Fourth Proportional to 148.11, 222.12 and 96.77

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Solution

The fourth proportional to 148.11, 222.12 and 96.77 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.11 : 222.12 = 96.77 : x
  2. Step 2: Convert to fraction form
    148.11/222.12 = 96.77/x
  3. Step 3: Cross multiply
    148.11x = 222.12 × 96.77
  4. Step 4: Simplify right side
    148.11x = 21,494.55
  5. Step 5: Solve for x
    x = 21,494.55/148.11
  6. Step 6: Final answer
    x = 145.13

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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.