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Finding the Fourth Proportional to 149.90, 207.16 and 131.83

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Solution

The fourth proportional to 149.90, 207.16 and 131.83 is: 182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.90 : 207.16 = 131.83 : x
  2. Step 2: Convert to fraction form
    149.90/207.16 = 131.83/x
  3. Step 3: Cross multiply
    149.90x = 207.16 × 131.83
  4. Step 4: Simplify right side
    149.90x = 27,309.06
  5. Step 5: Solve for x
    x = 27,309.06/149.90
  6. Step 6: Final answer
    x = 182.18

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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.