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Finding the Fourth Proportional to 159.36, 218.75 and 141.49

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Solution

The fourth proportional to 159.36, 218.75 and 141.49 is: 194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.36 : 218.75 = 141.49 : x
  2. Step 2: Convert to fraction form
    159.36/218.75 = 141.49/x
  3. Step 3: Cross multiply
    159.36x = 218.75 × 141.49
  4. Step 4: Simplify right side
    159.36x = 30,950.94
  5. Step 5: Solve for x
    x = 30,950.94/159.36
  6. Step 6: Final answer
    x = 194.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.