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Finding the Fourth Proportional to 397.91, 593.98 and 367.84

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Solution

The fourth proportional to 397.91, 593.98 and 367.84 is: 549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.91 : 593.98 = 367.84 : x
  2. Step 2: Convert to fraction form
    397.91/593.98 = 367.84/x
  3. Step 3: Cross multiply
    397.91x = 593.98 × 367.84
  4. Step 4: Simplify right side
    397.91x = 218,491.50
  5. Step 5: Solve for x
    x = 218,491.50/397.91
  6. Step 6: Final answer
    x = 549.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.