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Finding the Fourth Proportional to 338.50, 504.67 and 317.85

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Solution

The fourth proportional to 338.50, 504.67 and 317.85 is: 473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.50 : 504.67 = 317.85 : x
  2. Step 2: Convert to fraction form
    338.50/504.67 = 317.85/x
  3. Step 3: Cross multiply
    338.50x = 504.67 × 317.85
  4. Step 4: Simplify right side
    338.50x = 160,409.36
  5. Step 5: Solve for x
    x = 160,409.36/338.50
  6. Step 6: Final answer
    x = 473.88

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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.