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Finding the Fourth Proportional to 203.60, 306.74 and 192.80

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Solution

The fourth proportional to 203.60, 306.74 and 192.80 is: 290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.60 : 306.74 = 192.80 : x
  2. Step 2: Convert to fraction form
    203.60/306.74 = 192.80/x
  3. Step 3: Cross multiply
    203.60x = 306.74 × 192.80
  4. Step 4: Simplify right side
    203.60x = 59,139.47
  5. Step 5: Solve for x
    x = 59,139.47/203.60
  6. Step 6: Final answer
    x = 290.47

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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.