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Finding the Fourth Proportional to 175.01, 241.48 and 142.21

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Solution

The fourth proportional to 175.01, 241.48 and 142.21 is: 196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.01 : 241.48 = 142.21 : x
  2. Step 2: Convert to fraction form
    175.01/241.48 = 142.21/x
  3. Step 3: Cross multiply
    175.01x = 241.48 × 142.21
  4. Step 4: Simplify right side
    175.01x = 34,339.99
  5. Step 5: Solve for x
    x = 34,339.99/175.01
  6. Step 6: Final answer
    x = 196.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.