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Finding the Fourth Proportional to 338.15, 468.84 and 319.70

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Solution

The fourth proportional to 338.15, 468.84 and 319.70 is: 443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.15 : 468.84 = 319.70 : x
  2. Step 2: Convert to fraction form
    338.15/468.84 = 319.70/x
  3. Step 3: Cross multiply
    338.15x = 468.84 × 319.70
  4. Step 4: Simplify right side
    338.15x = 149,886.08
  5. Step 5: Solve for x
    x = 149,886.08/338.15
  6. Step 6: Final answer
    x = 443.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.