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Finding the Fourth Proportional to 338.08, 504.08 and 314.96

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Solution

The fourth proportional to 338.08, 504.08 and 314.96 is: 469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.08 : 504.08 = 314.96 : x
  2. Step 2: Convert to fraction form
    338.08/504.08 = 314.96/x
  3. Step 3: Cross multiply
    338.08x = 504.08 × 314.96
  4. Step 4: Simplify right side
    338.08x = 158,765.04
  5. Step 5: Solve for x
    x = 158,765.04/338.08
  6. Step 6: Final answer
    x = 469.61

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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.