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Finding the Fourth Proportional to 203.66, 302.08 and 201.61

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Solution

The fourth proportional to 203.66, 302.08 and 201.61 is: 299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.66 : 302.08 = 201.61 : x
  2. Step 2: Convert to fraction form
    203.66/302.08 = 201.61/x
  3. Step 3: Cross multiply
    203.66x = 302.08 × 201.61
  4. Step 4: Simplify right side
    203.66x = 60,903.45
  5. Step 5: Solve for x
    x = 60,903.45/203.66
  6. Step 6: Final answer
    x = 299.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.