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Finding the Fourth Proportional to 231.10, 344.95 and 204.08

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Solution

The fourth proportional to 231.10, 344.95 and 204.08 is: 304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.10 : 344.95 = 204.08 : x
  2. Step 2: Convert to fraction form
    231.10/344.95 = 204.08/x
  3. Step 3: Cross multiply
    231.10x = 344.95 × 204.08
  4. Step 4: Simplify right side
    231.10x = 70,395.16
  5. Step 5: Solve for x
    x = 70,395.16/231.10
  6. Step 6: Final answer
    x = 304.61

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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.