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Finding the Fourth Proportional to 157.21, 233.76 and 150.73

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Solution

The fourth proportional to 157.21, 233.76 and 150.73 is: 224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.21 : 233.76 = 150.73 : x
  2. Step 2: Convert to fraction form
    157.21/233.76 = 150.73/x
  3. Step 3: Cross multiply
    157.21x = 233.76 × 150.73
  4. Step 4: Simplify right side
    157.21x = 35,234.64
  5. Step 5: Solve for x
    x = 35,234.64/157.21
  6. Step 6: Final answer
    x = 224.12

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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.