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Finding the Fourth Proportional to 150.89, 207.83 and 140.81

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Solution

The fourth proportional to 150.89, 207.83 and 140.81 is: 193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.89 : 207.83 = 140.81 : x
  2. Step 2: Convert to fraction form
    150.89/207.83 = 140.81/x
  3. Step 3: Cross multiply
    150.89x = 207.83 × 140.81
  4. Step 4: Simplify right side
    150.89x = 29,263.86
  5. Step 5: Solve for x
    x = 29,263.86/150.89
  6. Step 6: Final answer
    x = 193.95

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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.