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Finding the Fourth Proportional to 338.83, 463.86 and 336.56

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Solution

The fourth proportional to 338.83, 463.86 and 336.56 is: 460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.83 : 463.86 = 336.56 : x
  2. Step 2: Convert to fraction form
    338.83/463.86 = 336.56/x
  3. Step 3: Cross multiply
    338.83x = 463.86 × 336.56
  4. Step 4: Simplify right side
    338.83x = 156,114.40
  5. Step 5: Solve for x
    x = 156,114.40/338.83
  6. Step 6: Final answer
    x = 460.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.