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Finding the Fourth Proportional to 148.86, 222.20 and 145.98

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Solution

The fourth proportional to 148.86, 222.20 and 145.98 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.86 : 222.20 = 145.98 : x
  2. Step 2: Convert to fraction form
    148.86/222.20 = 145.98/x
  3. Step 3: Cross multiply
    148.86x = 222.20 × 145.98
  4. Step 4: Simplify right side
    148.86x = 32,436.03
  5. Step 5: Solve for x
    x = 32,436.03/148.86
  6. Step 6: Final answer
    x = 217.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.