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Finding the Fourth Proportional to 157.01, 234.36 and 142.43

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Solution

The fourth proportional to 157.01, 234.36 and 142.43 is: 212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.01 : 234.36 = 142.43 : x
  2. Step 2: Convert to fraction form
    157.01/234.36 = 142.43/x
  3. Step 3: Cross multiply
    157.01x = 234.36 × 142.43
  4. Step 4: Simplify right side
    157.01x = 33,378.72
  5. Step 5: Solve for x
    x = 33,378.72/157.01
  6. Step 6: Final answer
    x = 212.60

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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.