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Finding the Fourth Proportional to 150.74, 207.30 and 120.86

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Solution

The fourth proportional to 150.74, 207.30 and 120.86 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.74 : 207.30 = 120.86 : x
  2. Step 2: Convert to fraction form
    150.74/207.30 = 120.86/x
  3. Step 3: Cross multiply
    150.74x = 207.30 × 120.86
  4. Step 4: Simplify right side
    150.74x = 25,054.28
  5. Step 5: Solve for x
    x = 25,054.28/150.74
  6. Step 6: Final answer
    x = 166.21

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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.