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Finding the Fourth Proportional to 149.54, 223.02 and 146.49

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Solution

The fourth proportional to 149.54, 223.02 and 146.49 is: 218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.54 : 223.02 = 146.49 : x
  2. Step 2: Convert to fraction form
    149.54/223.02 = 146.49/x
  3. Step 3: Cross multiply
    149.54x = 223.02 × 146.49
  4. Step 4: Simplify right side
    149.54x = 32,670.20
  5. Step 5: Solve for x
    x = 32,670.20/149.54
  6. Step 6: Final answer
    x = 218.48

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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.