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Finding the Fourth Proportional to 149.30, 206.03 and 82.91

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Solution

The fourth proportional to 149.30, 206.03 and 82.91 is: 114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.30 : 206.03 = 82.91 : x
  2. Step 2: Convert to fraction form
    149.30/206.03 = 82.91/x
  3. Step 3: Cross multiply
    149.30x = 206.03 × 82.91
  4. Step 4: Simplify right side
    149.30x = 17,080.50
  5. Step 5: Solve for x
    x = 17,080.50/149.30
  6. Step 6: Final answer
    x = 114.41

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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.