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Finding the Fourth Proportional to 149.00, 205.47 and 102.29

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Solution

The fourth proportional to 149.00, 205.47 and 102.29 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.00 : 205.47 = 102.29 : x
  2. Step 2: Convert to fraction form
    149.00/205.47 = 102.29/x
  3. Step 3: Cross multiply
    149.00x = 205.47 × 102.29
  4. Step 4: Simplify right side
    149.00x = 21,016.50
  5. Step 5: Solve for x
    x = 21,016.50/149.00
  6. Step 6: Final answer
    x = 141.06

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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.