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Finding the Fourth Proportional to 367.99, 507.86 and 218.66

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Solution

The fourth proportional to 367.99, 507.86 and 218.66 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.99 : 507.86 = 218.66 : x
  2. Step 2: Convert to fraction form
    367.99/507.86 = 218.66/x
  3. Step 3: Cross multiply
    367.99x = 507.86 × 218.66
  4. Step 4: Simplify right side
    367.99x = 111,048.67
  5. Step 5: Solve for x
    x = 111,048.67/367.99
  6. Step 6: Final answer
    x = 301.77

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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.