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Finding the Fourth Proportional to 148.24, 221.82 and 100

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Solution

The fourth proportional to 148.24, 221.82 and 100 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.24 : 221.82 = 100 : x
  2. Step 2: Convert to fraction form
    148.24/221.82 = 100/x
  3. Step 3: Cross multiply
    148.24x = 221.82 × 100
  4. Step 4: Simplify right side
    148.24x = 22,182
  5. Step 5: Solve for x
    x = 22,182/148.24
  6. Step 6: Final answer
    x = 149.64

Related Problems

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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.