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Finding the Fourth Proportional to 159.77, 238.55 and 142.36

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Solution

The fourth proportional to 159.77, 238.55 and 142.36 is: 212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.77 : 238.55 = 142.36 : x
  2. Step 2: Convert to fraction form
    159.77/238.55 = 142.36/x
  3. Step 3: Cross multiply
    159.77x = 238.55 × 142.36
  4. Step 4: Simplify right side
    159.77x = 33,958.67
  5. Step 5: Solve for x
    x = 33,958.67/159.77
  6. Step 6: Final answer
    x = 212.54

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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.