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Finding the Fourth Proportional to 149.53, 206.31 and 86.51

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Solution

The fourth proportional to 149.53, 206.31 and 86.51 is: 119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.53 : 206.31 = 86.51 : x
  2. Step 2: Convert to fraction form
    149.53/206.31 = 86.51/x
  3. Step 3: Cross multiply
    149.53x = 206.31 × 86.51
  4. Step 4: Simplify right side
    149.53x = 17,847.66
  5. Step 5: Solve for x
    x = 17,847.66/149.53
  6. Step 6: Final answer
    x = 119.36

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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.