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Finding the Fourth Proportional to 338.44, 505.46 and 319.72

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Solution

The fourth proportional to 338.44, 505.46 and 319.72 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.44 : 505.46 = 319.72 : x
  2. Step 2: Convert to fraction form
    338.44/505.46 = 319.72/x
  3. Step 3: Cross multiply
    338.44x = 505.46 × 319.72
  4. Step 4: Simplify right side
    338.44x = 161,605.67
  5. Step 5: Solve for x
    x = 161,605.67/338.44
  6. Step 6: Final answer
    x = 477.50

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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.