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Finding the Fourth Proportional to 203.88, 307.32 and 185.66

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Solution

The fourth proportional to 203.88, 307.32 and 185.66 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.88 : 307.32 = 185.66 : x
  2. Step 2: Convert to fraction form
    203.88/307.32 = 185.66/x
  3. Step 3: Cross multiply
    203.88x = 307.32 × 185.66
  4. Step 4: Simplify right side
    203.88x = 57,055.49
  5. Step 5: Solve for x
    x = 57,055.49/203.88
  6. Step 6: Final answer
    x = 279.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.