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Finding the Fourth Proportional to 336.50, 463.79 and 231.40

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Solution

The fourth proportional to 336.50, 463.79 and 231.40 is: 318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.50 : 463.79 = 231.40 : x
  2. Step 2: Convert to fraction form
    336.50/463.79 = 231.40/x
  3. Step 3: Cross multiply
    336.50x = 463.79 × 231.40
  4. Step 4: Simplify right side
    336.50x = 107,321.01
  5. Step 5: Solve for x
    x = 107,321.01/336.50
  6. Step 6: Final answer
    x = 318.93

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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.