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Finding the Fourth Proportional to 157.25, 234.98 and 137.46

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Solution

The fourth proportional to 157.25, 234.98 and 137.46 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.25 : 234.98 = 137.46 : x
  2. Step 2: Convert to fraction form
    157.25/234.98 = 137.46/x
  3. Step 3: Cross multiply
    157.25x = 234.98 × 137.46
  4. Step 4: Simplify right side
    157.25x = 32,300.67
  5. Step 5: Solve for x
    x = 32,300.67/157.25
  6. Step 6: Final answer
    x = 205.42

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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.