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Finding the Fourth Proportional to 204.12, 305.04 and 146.10

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Solution

The fourth proportional to 204.12, 305.04 and 146.10 is: 218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.12 : 305.04 = 146.10 : x
  2. Step 2: Convert to fraction form
    204.12/305.04 = 146.10/x
  3. Step 3: Cross multiply
    204.12x = 305.04 × 146.10
  4. Step 4: Simplify right side
    204.12x = 44,566.34
  5. Step 5: Solve for x
    x = 44,566.34/204.12
  6. Step 6: Final answer
    x = 218.33

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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.