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Finding the Fourth Proportional to 204.15, 304.44 and 202.35

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Solution

The fourth proportional to 204.15, 304.44 and 202.35 is: 301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.15 : 304.44 = 202.35 : x
  2. Step 2: Convert to fraction form
    204.15/304.44 = 202.35/x
  3. Step 3: Cross multiply
    204.15x = 304.44 × 202.35
  4. Step 4: Simplify right side
    204.15x = 61,603.43
  5. Step 5: Solve for x
    x = 61,603.43/204.15
  6. Step 6: Final answer
    x = 301.76

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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.