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Finding the Fourth Proportional to 318.95, 439.86 and 231.47

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Solution

The fourth proportional to 318.95, 439.86 and 231.47 is: 319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.95 : 439.86 = 231.47 : x
  2. Step 2: Convert to fraction form
    318.95/439.86 = 231.47/x
  3. Step 3: Cross multiply
    318.95x = 439.86 × 231.47
  4. Step 4: Simplify right side
    318.95x = 101,812.19
  5. Step 5: Solve for x
    x = 101,812.19/318.95
  6. Step 6: Final answer
    x = 319.22

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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.