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Finding the Fourth Proportional to 336.56, 463.46 and 243.14

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Solution

The fourth proportional to 336.56, 463.46 and 243.14 is: 334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.56 : 463.46 = 243.14 : x
  2. Step 2: Convert to fraction form
    336.56/463.46 = 243.14/x
  3. Step 3: Cross multiply
    336.56x = 463.46 × 243.14
  4. Step 4: Simplify right side
    336.56x = 112,682.13
  5. Step 5: Solve for x
    x = 112,682.13/336.56
  6. Step 6: Final answer
    x = 334.81

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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.