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Finding the Fourth Proportional to 367.93, 507.84 and 212.68

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Solution

The fourth proportional to 367.93, 507.84 and 212.68 is: 293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.93 : 507.84 = 212.68 : x
  2. Step 2: Convert to fraction form
    367.93/507.84 = 212.68/x
  3. Step 3: Cross multiply
    367.93x = 507.84 × 212.68
  4. Step 4: Simplify right side
    367.93x = 108,007.41
  5. Step 5: Solve for x
    x = 108,007.41/367.93
  6. Step 6: Final answer
    x = 293.55

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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.