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Finding the Fourth Proportional to 149.95, 223.50 and 144.41

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Solution

The fourth proportional to 149.95, 223.50 and 144.41 is: 215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.95 : 223.50 = 144.41 : x
  2. Step 2: Convert to fraction form
    149.95/223.50 = 144.41/x
  3. Step 3: Cross multiply
    149.95x = 223.50 × 144.41
  4. Step 4: Simplify right side
    149.95x = 32,274.91
  5. Step 5: Solve for x
    x = 32,274.91/149.95
  6. Step 6: Final answer
    x = 215.25

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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.