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Finding the Fourth Proportional to 148.11, 222.19 and 75.01

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Solution

The fourth proportional to 148.11, 222.19 and 75.01 is: 112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.11 : 222.19 = 75.01 : x
  2. Step 2: Convert to fraction form
    148.11/222.19 = 75.01/x
  3. Step 3: Cross multiply
    148.11x = 222.19 × 75.01
  4. Step 4: Simplify right side
    148.11x = 16,666.47
  5. Step 5: Solve for x
    x = 16,666.47/148.11
  6. Step 6: Final answer
    x = 112.53

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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.