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Finding the Fourth Proportional to 204.61, 305.48 and 187.33

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Solution

The fourth proportional to 204.61, 305.48 and 187.33 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.61 : 305.48 = 187.33 : x
  2. Step 2: Convert to fraction form
    204.61/305.48 = 187.33/x
  3. Step 3: Cross multiply
    204.61x = 305.48 × 187.33
  4. Step 4: Simplify right side
    204.61x = 57,225.57
  5. Step 5: Solve for x
    x = 57,225.57/204.61
  6. Step 6: Final answer
    x = 279.68

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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.