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Finding the Fourth Proportional to 149.16, 205.75 and 105.42

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Solution

The fourth proportional to 149.16, 205.75 and 105.42 is: 145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 205.75 = 105.42 : x
  2. Step 2: Convert to fraction form
    149.16/205.75 = 105.42/x
  3. Step 3: Cross multiply
    149.16x = 205.75 × 105.42
  4. Step 4: Simplify right side
    149.16x = 21,691.07
  5. Step 5: Solve for x
    x = 21,691.07/149.16
  6. Step 6: Final answer
    x = 145.42

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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.