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Finding the Fourth Proportional to 150.50, 207.27 and 135.02

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Solution

The fourth proportional to 150.50, 207.27 and 135.02 is: 185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.50 : 207.27 = 135.02 : x
  2. Step 2: Convert to fraction form
    150.50/207.27 = 135.02/x
  3. Step 3: Cross multiply
    150.50x = 207.27 × 135.02
  4. Step 4: Simplify right side
    150.50x = 27,984.56
  5. Step 5: Solve for x
    x = 27,984.56/150.50
  6. Step 6: Final answer
    x = 185.95

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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.