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Finding the Fourth Proportional to 149.96, 207.00 and 126.77

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Solution

The fourth proportional to 149.96, 207.00 and 126.77 is: 174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.96 : 207.00 = 126.77 : x
  2. Step 2: Convert to fraction form
    149.96/207.00 = 126.77/x
  3. Step 3: Cross multiply
    149.96x = 207.00 × 126.77
  4. Step 4: Simplify right side
    149.96x = 26,240.87
  5. Step 5: Solve for x
    x = 26,240.87/149.96
  6. Step 6: Final answer
    x = 174.99

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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.