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Finding the Fourth Proportional to 203.82, 280.90 and 148.47

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Solution

The fourth proportional to 203.82, 280.90 and 148.47 is: 204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.82 : 280.90 = 148.47 : x
  2. Step 2: Convert to fraction form
    203.82/280.90 = 148.47/x
  3. Step 3: Cross multiply
    203.82x = 280.90 × 148.47
  4. Step 4: Simplify right side
    203.82x = 41,703.45
  5. Step 5: Solve for x
    x = 41,703.45/203.82
  6. Step 6: Final answer
    x = 204.61

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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.