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Finding the Fourth Proportional to 336.13, 464.22 and 231.49

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Solution

The fourth proportional to 336.13, 464.22 and 231.49 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.13 : 464.22 = 231.49 : x
  2. Step 2: Convert to fraction form
    336.13/464.22 = 231.49/x
  3. Step 3: Cross multiply
    336.13x = 464.22 × 231.49
  4. Step 4: Simplify right side
    336.13x = 107,462.29
  5. Step 5: Solve for x
    x = 107,462.29/336.13
  6. Step 6: Final answer
    x = 319.70

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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.