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Finding the Fourth Proportional to 215.53, 322.74 and 150.73

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Solution

The fourth proportional to 215.53, 322.74 and 150.73 is: 225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.53 : 322.74 = 150.73 : x
  2. Step 2: Convert to fraction form
    215.53/322.74 = 150.73/x
  3. Step 3: Cross multiply
    215.53x = 322.74 × 150.73
  4. Step 4: Simplify right side
    215.53x = 48,646.60
  5. Step 5: Solve for x
    x = 48,646.60/215.53
  6. Step 6: Final answer
    x = 225.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.