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Finding the Fourth Proportional to 203.67, 280.95 and 133.74

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Solution

The fourth proportional to 203.67, 280.95 and 133.74 is: 184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.67 : 280.95 = 133.74 : x
  2. Step 2: Convert to fraction form
    203.67/280.95 = 133.74/x
  3. Step 3: Cross multiply
    203.67x = 280.95 × 133.74
  4. Step 4: Simplify right side
    203.67x = 37,574.25
  5. Step 5: Solve for x
    x = 37,574.25/203.67
  6. Step 6: Final answer
    x = 184.49

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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.