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Finding the Fourth Proportional to 157.56, 235.14 and 142.26

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Solution

The fourth proportional to 157.56, 235.14 and 142.26 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.56 : 235.14 = 142.26 : x
  2. Step 2: Convert to fraction form
    157.56/235.14 = 142.26/x
  3. Step 3: Cross multiply
    157.56x = 235.14 × 142.26
  4. Step 4: Simplify right side
    157.56x = 33,451.02
  5. Step 5: Solve for x
    x = 33,451.02/157.56
  6. Step 6: Final answer
    x = 212.31

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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.