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Finding the Fourth Proportional to 146.07, 220.04 and 142.43

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Solution

The fourth proportional to 146.07, 220.04 and 142.43 is: 214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.07 : 220.04 = 142.43 : x
  2. Step 2: Convert to fraction form
    146.07/220.04 = 142.43/x
  3. Step 3: Cross multiply
    146.07x = 220.04 × 142.43
  4. Step 4: Simplify right side
    146.07x = 31,340.30
  5. Step 5: Solve for x
    x = 31,340.30/146.07
  6. Step 6: Final answer
    x = 214.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.