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Finding the Fourth Proportional to 204.18, 304.78 and 179.88

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Solution

The fourth proportional to 204.18, 304.78 and 179.88 is: 268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.18 : 304.78 = 179.88 : x
  2. Step 2: Convert to fraction form
    204.18/304.78 = 179.88/x
  3. Step 3: Cross multiply
    204.18x = 304.78 × 179.88
  4. Step 4: Simplify right side
    204.18x = 54,822.93
  5. Step 5: Solve for x
    x = 54,822.93/204.18
  6. Step 6: Final answer
    x = 268.50

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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.