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Finding the Fourth Proportional to 150.75, 207.90 and 113.94

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Solution

The fourth proportional to 150.75, 207.90 and 113.94 is: 157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 207.90 = 113.94 : x
  2. Step 2: Convert to fraction form
    150.75/207.90 = 113.94/x
  3. Step 3: Cross multiply
    150.75x = 207.90 × 113.94
  4. Step 4: Simplify right side
    150.75x = 23,688.13
  5. Step 5: Solve for x
    x = 23,688.13/150.75
  6. Step 6: Final answer
    x = 157.14

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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.