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Finding the Fourth Proportional to 207.69, 310.95 and 142.55

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Solution

The fourth proportional to 207.69, 310.95 and 142.55 is: 213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.69 : 310.95 = 142.55 : x
  2. Step 2: Convert to fraction form
    207.69/310.95 = 142.55/x
  3. Step 3: Cross multiply
    207.69x = 310.95 × 142.55
  4. Step 4: Simplify right side
    207.69x = 44,325.92
  5. Step 5: Solve for x
    x = 44,325.92/207.69
  6. Step 6: Final answer
    x = 213.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.