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Finding the Fourth Proportional to 157.15, 234.39 and 142.57

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Solution

The fourth proportional to 157.15, 234.39 and 142.57 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.15 : 234.39 = 142.57 : x
  2. Step 2: Convert to fraction form
    157.15/234.39 = 142.57/x
  3. Step 3: Cross multiply
    157.15x = 234.39 × 142.57
  4. Step 4: Simplify right side
    157.15x = 33,416.98
  5. Step 5: Solve for x
    x = 33,416.98/157.15
  6. Step 6: Final answer
    x = 212.64

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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.