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Finding the Fourth Proportional to 376.47, 519.50 and 314.14

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Solution

The fourth proportional to 376.47, 519.50 and 314.14 is: 433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.47 : 519.50 = 314.14 : x
  2. Step 2: Convert to fraction form
    376.47/519.50 = 314.14/x
  3. Step 3: Cross multiply
    376.47x = 519.50 × 314.14
  4. Step 4: Simplify right side
    376.47x = 163,194.16
  5. Step 5: Solve for x
    x = 163,194.16/376.47
  6. Step 6: Final answer
    x = 433.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.