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Finding the Fourth Proportional to 149.02, 205.22 and 145.82

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Solution

The fourth proportional to 149.02, 205.22 and 145.82 is: 200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.02 : 205.22 = 145.82 : x
  2. Step 2: Convert to fraction form
    149.02/205.22 = 145.82/x
  3. Step 3: Cross multiply
    149.02x = 205.22 × 145.82
  4. Step 4: Simplify right side
    149.02x = 29,925.18
  5. Step 5: Solve for x
    x = 29,925.18/149.02
  6. Step 6: Final answer
    x = 200.81

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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.