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Finding the Fourth Proportional to 159.05, 237.24 and 140.82

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Solution

The fourth proportional to 159.05, 237.24 and 140.82 is: 210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.05 : 237.24 = 140.82 : x
  2. Step 2: Convert to fraction form
    159.05/237.24 = 140.82/x
  3. Step 3: Cross multiply
    159.05x = 237.24 × 140.82
  4. Step 4: Simplify right side
    159.05x = 33,408.14
  5. Step 5: Solve for x
    x = 33,408.14/159.05
  6. Step 6: Final answer
    x = 210.05

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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.