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Finding the Fourth Proportional to 319.96, 443.47 and 314.74

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Solution

The fourth proportional to 319.96, 443.47 and 314.74 is: 436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 443.47 = 314.74 : x
  2. Step 2: Convert to fraction form
    319.96/443.47 = 314.74/x
  3. Step 3: Cross multiply
    319.96x = 443.47 × 314.74
  4. Step 4: Simplify right side
    319.96x = 139,577.75
  5. Step 5: Solve for x
    x = 139,577.75/319.96
  6. Step 6: Final answer
    x = 436.23

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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.