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Finding the Fourth Proportional to 157.70, 234.91 and 149.80

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Solution

The fourth proportional to 157.70, 234.91 and 149.80 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 234.91 = 149.80 : x
  2. Step 2: Convert to fraction form
    157.70/234.91 = 149.80/x
  3. Step 3: Cross multiply
    157.70x = 234.91 × 149.80
  4. Step 4: Simplify right side
    157.70x = 35,189.52
  5. Step 5: Solve for x
    x = 35,189.52/157.70
  6. Step 6: Final answer
    x = 223.14

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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.