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Finding the Fourth Proportional to 380.93, 519.04 and 372.50

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Solution

The fourth proportional to 380.93, 519.04 and 372.50 is: 507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.93 : 519.04 = 372.50 : x
  2. Step 2: Convert to fraction form
    380.93/519.04 = 372.50/x
  3. Step 3: Cross multiply
    380.93x = 519.04 × 372.50
  4. Step 4: Simplify right side
    380.93x = 193,338.87
  5. Step 5: Solve for x
    x = 193,338.87/380.93
  6. Step 6: Final answer
    x = 507.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.