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Finding the Fourth Proportional to 203.61, 304.17 and 185.43

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Solution

The fourth proportional to 203.61, 304.17 and 185.43 is: 277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.61 : 304.17 = 185.43 : x
  2. Step 2: Convert to fraction form
    203.61/304.17 = 185.43/x
  3. Step 3: Cross multiply
    203.61x = 304.17 × 185.43
  4. Step 4: Simplify right side
    203.61x = 56,402.24
  5. Step 5: Solve for x
    x = 56,402.24/203.61
  6. Step 6: Final answer
    x = 277.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.