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Finding the Fourth Proportional to 149.80, 206.73 and 84.31

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Solution

The fourth proportional to 149.80, 206.73 and 84.31 is: 116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.80 : 206.73 = 84.31 : x
  2. Step 2: Convert to fraction form
    149.80/206.73 = 84.31/x
  3. Step 3: Cross multiply
    149.80x = 206.73 × 84.31
  4. Step 4: Simplify right side
    149.80x = 17,428.89
  5. Step 5: Solve for x
    x = 17,428.89/149.80
  6. Step 6: Final answer
    x = 116.35

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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.