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Finding the Fourth Proportional to 150.35, 204.62 and 149.72

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Solution

The fourth proportional to 150.35, 204.62 and 149.72 is: 203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.35 : 204.62 = 149.72 : x
  2. Step 2: Convert to fraction form
    150.35/204.62 = 149.72/x
  3. Step 3: Cross multiply
    150.35x = 204.62 × 149.72
  4. Step 4: Simplify right side
    150.35x = 30,633.93
  5. Step 5: Solve for x
    x = 30,633.93/150.35
  6. Step 6: Final answer
    x = 203.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.