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Finding the Fourth Proportional to 149.18, 221.95 and 146.44

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Solution

The fourth proportional to 149.18, 221.95 and 146.44 is: 217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.18 : 221.95 = 146.44 : x
  2. Step 2: Convert to fraction form
    149.18/221.95 = 146.44/x
  3. Step 3: Cross multiply
    149.18x = 221.95 × 146.44
  4. Step 4: Simplify right side
    149.18x = 32,502.36
  5. Step 5: Solve for x
    x = 32,502.36/149.18
  6. Step 6: Final answer
    x = 217.87

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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.