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Finding the Fourth Proportional to 336.44, 463.14 and 289.53

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Solution

The fourth proportional to 336.44, 463.14 and 289.53 is: 398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.44 : 463.14 = 289.53 : x
  2. Step 2: Convert to fraction form
    336.44/463.14 = 289.53/x
  3. Step 3: Cross multiply
    336.44x = 463.14 × 289.53
  4. Step 4: Simplify right side
    336.44x = 134,092.92
  5. Step 5: Solve for x
    x = 134,092.92/336.44
  6. Step 6: Final answer
    x = 398.56

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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.