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Finding the Fourth Proportional to 149.76, 223.52 and 144.50

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Solution

The fourth proportional to 149.76, 223.52 and 144.50 is: 215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 223.52 = 144.50 : x
  2. Step 2: Convert to fraction form
    149.76/223.52 = 144.50/x
  3. Step 3: Cross multiply
    149.76x = 223.52 × 144.50
  4. Step 4: Simplify right side
    149.76x = 32,296.80
  5. Step 5: Solve for x
    x = 32,296.80/149.76
  6. Step 6: Final answer
    x = 215.66

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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.