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Finding the Fourth Proportional to 319.47, 437.96 and 314.43

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Solution

The fourth proportional to 319.47, 437.96 and 314.43 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.47 : 437.96 = 314.43 : x
  2. Step 2: Convert to fraction form
    319.47/437.96 = 314.43/x
  3. Step 3: Cross multiply
    319.47x = 437.96 × 314.43
  4. Step 4: Simplify right side
    319.47x = 137,706.19
  5. Step 5: Solve for x
    x = 137,706.19/319.47
  6. Step 6: Final answer
    x = 431.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.