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Finding the Fourth Proportional to 231.48, 318.42 and 204.84

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Solution

The fourth proportional to 231.48, 318.42 and 204.84 is: 281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.48 : 318.42 = 204.84 : x
  2. Step 2: Convert to fraction form
    231.48/318.42 = 204.84/x
  3. Step 3: Cross multiply
    231.48x = 318.42 × 204.84
  4. Step 4: Simplify right side
    231.48x = 65,225.15
  5. Step 5: Solve for x
    x = 65,225.15/231.48
  6. Step 6: Final answer
    x = 281.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.