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Finding the Fourth Proportional to 150.77, 206.83 and 141.45

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Solution

The fourth proportional to 150.77, 206.83 and 141.45 is: 194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.77 : 206.83 = 141.45 : x
  2. Step 2: Convert to fraction form
    150.77/206.83 = 141.45/x
  3. Step 3: Cross multiply
    150.77x = 206.83 × 141.45
  4. Step 4: Simplify right side
    150.77x = 29,255.40
  5. Step 5: Solve for x
    x = 29,255.40/150.77
  6. Step 6: Final answer
    x = 194.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.