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Finding the Fourth Proportional to 148.21, 221.90 and 100.03

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Solution

The fourth proportional to 148.21, 221.90 and 100.03 is: 149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.21 : 221.90 = 100.03 : x
  2. Step 2: Convert to fraction form
    148.21/221.90 = 100.03/x
  3. Step 3: Cross multiply
    148.21x = 221.90 × 100.03
  4. Step 4: Simplify right side
    148.21x = 22,196.16
  5. Step 5: Solve for x
    x = 22,196.16/148.21
  6. Step 6: Final answer
    x = 149.76

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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.