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Finding the Fourth Proportional to 149.76, 205.44 and 145.92

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Solution

The fourth proportional to 149.76, 205.44 and 145.92 is: 200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 205.44 = 145.92 : x
  2. Step 2: Convert to fraction form
    149.76/205.44 = 145.92/x
  3. Step 3: Cross multiply
    149.76x = 205.44 × 145.92
  4. Step 4: Simplify right side
    149.76x = 29,977.80
  5. Step 5: Solve for x
    x = 29,977.80/149.76
  6. Step 6: Final answer
    x = 200.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.