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Finding the Fourth Proportional to 231.29, 318.47 and 212.52

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Solution

The fourth proportional to 231.29, 318.47 and 212.52 is: 292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.29 : 318.47 = 212.52 : x
  2. Step 2: Convert to fraction form
    231.29/318.47 = 212.52/x
  3. Step 3: Cross multiply
    231.29x = 318.47 × 212.52
  4. Step 4: Simplify right side
    231.29x = 67,681.38
  5. Step 5: Solve for x
    x = 67,681.38/231.29
  6. Step 6: Final answer
    x = 292.63

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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.