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Finding the Fourth Proportional to 338.11, 466.45 and 314.95

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Solution

The fourth proportional to 338.11, 466.45 and 314.95 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.11 : 466.45 = 314.95 : x
  2. Step 2: Convert to fraction form
    338.11/466.45 = 314.95/x
  3. Step 3: Cross multiply
    338.11x = 466.45 × 314.95
  4. Step 4: Simplify right side
    338.11x = 146,908.43
  5. Step 5: Solve for x
    x = 146,908.43/338.11
  6. Step 6: Final answer
    x = 434.50

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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.