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Finding the Fourth Proportional to 146.07, 217.92 and 142.10

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Solution

The fourth proportional to 146.07, 217.92 and 142.10 is: 212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.07 : 217.92 = 142.10 : x
  2. Step 2: Convert to fraction form
    146.07/217.92 = 142.10/x
  3. Step 3: Cross multiply
    146.07x = 217.92 × 142.10
  4. Step 4: Simplify right side
    146.07x = 30,966.98
  5. Step 5: Solve for x
    x = 30,966.98/146.07
  6. Step 6: Final answer
    x = 212.00

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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.