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Finding the Fourth Proportional to 203.42, 280.83 and 137.08

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Solution

The fourth proportional to 203.42, 280.83 and 137.08 is: 189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.42 : 280.83 = 137.08 : x
  2. Step 2: Convert to fraction form
    203.42/280.83 = 137.08/x
  3. Step 3: Cross multiply
    203.42x = 280.83 × 137.08
  4. Step 4: Simplify right side
    203.42x = 38,497.04
  5. Step 5: Solve for x
    x = 38,497.04/203.42
  6. Step 6: Final answer
    x = 189.25

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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.