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Finding the Fourth Proportional to 157.14, 233.86 and 151.38

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Solution

The fourth proportional to 157.14, 233.86 and 151.38 is: 225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.14 : 233.86 = 151.38 : x
  2. Step 2: Convert to fraction form
    157.14/233.86 = 151.38/x
  3. Step 3: Cross multiply
    157.14x = 233.86 × 151.38
  4. Step 4: Simplify right side
    157.14x = 35,401.73
  5. Step 5: Solve for x
    x = 35,401.73/157.14
  6. Step 6: Final answer
    x = 225.29

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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.