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Finding the Fourth Proportional to 150.70, 207.16 and 135.85

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Solution

The fourth proportional to 150.70, 207.16 and 135.85 is: 186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.70 : 207.16 = 135.85 : x
  2. Step 2: Convert to fraction form
    150.70/207.16 = 135.85/x
  3. Step 3: Cross multiply
    150.70x = 207.16 × 135.85
  4. Step 4: Simplify right side
    150.70x = 28,142.69
  5. Step 5: Solve for x
    x = 28,142.69/150.70
  6. Step 6: Final answer
    x = 186.75

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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.