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Finding the Fourth Proportional to 315.72, 435.42 and 231.69

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Solution

The fourth proportional to 315.72, 435.42 and 231.69 is: 319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.72 : 435.42 = 231.69 : x
  2. Step 2: Convert to fraction form
    315.72/435.42 = 231.69/x
  3. Step 3: Cross multiply
    315.72x = 435.42 × 231.69
  4. Step 4: Simplify right side
    315.72x = 100,882.46
  5. Step 5: Solve for x
    x = 100,882.46/315.72
  6. Step 6: Final answer
    x = 319.53

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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.