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Finding the Fourth Proportional to 149.40, 206.16 and 83.90

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Solution

The fourth proportional to 149.40, 206.16 and 83.90 is: 115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 206.16 = 83.90 : x
  2. Step 2: Convert to fraction form
    149.40/206.16 = 83.90/x
  3. Step 3: Cross multiply
    149.40x = 206.16 × 83.90
  4. Step 4: Simplify right side
    149.40x = 17,296.11
  5. Step 5: Solve for x
    x = 17,296.11/149.40
  6. Step 6: Final answer
    x = 115.77

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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.