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Finding the Fourth Proportional to 338.63, 504.86 and 317.97

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Solution

The fourth proportional to 338.63, 504.86 and 317.97 is: 474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.63 : 504.86 = 317.97 : x
  2. Step 2: Convert to fraction form
    338.63/504.86 = 317.97/x
  3. Step 3: Cross multiply
    338.63x = 504.86 × 317.97
  4. Step 4: Simplify right side
    338.63x = 160,528.74
  5. Step 5: Solve for x
    x = 160,528.74/338.63
  6. Step 6: Final answer
    x = 474.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.