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Finding the Fourth Proportional to 149.16, 221.91 and 143.40

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Solution

The fourth proportional to 149.16, 221.91 and 143.40 is: 213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 221.91 = 143.40 : x
  2. Step 2: Convert to fraction form
    149.16/221.91 = 143.40/x
  3. Step 3: Cross multiply
    149.16x = 221.91 × 143.40
  4. Step 4: Simplify right side
    149.16x = 31,821.89
  5. Step 5: Solve for x
    x = 31,821.89/149.16
  6. Step 6: Final answer
    x = 213.34

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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.