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Finding the Fourth Proportional to 149.92, 223.40 and 144.16

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Solution

The fourth proportional to 149.92, 223.40 and 144.16 is: 214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.92 : 223.40 = 144.16 : x
  2. Step 2: Convert to fraction form
    149.92/223.40 = 144.16/x
  3. Step 3: Cross multiply
    149.92x = 223.40 × 144.16
  4. Step 4: Simplify right side
    149.92x = 32,205.34
  5. Step 5: Solve for x
    x = 32,205.34/149.92
  6. Step 6: Final answer
    x = 214.82

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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.