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Finding the Fourth Proportional to 157.53, 234.87 and 151.41

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Solution

The fourth proportional to 157.53, 234.87 and 151.41 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.53 : 234.87 = 151.41 : x
  2. Step 2: Convert to fraction form
    157.53/234.87 = 151.41/x
  3. Step 3: Cross multiply
    157.53x = 234.87 × 151.41
  4. Step 4: Simplify right side
    157.53x = 35,561.67
  5. Step 5: Solve for x
    x = 35,561.67/157.53
  6. Step 6: Final answer
    x = 225.75

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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.