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Finding the Fourth Proportional to 377.59, 519.21 and 366.05

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Solution

The fourth proportional to 377.59, 519.21 and 366.05 is: 503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.59 : 519.21 = 366.05 : x
  2. Step 2: Convert to fraction form
    377.59/519.21 = 366.05/x
  3. Step 3: Cross multiply
    377.59x = 519.21 × 366.05
  4. Step 4: Simplify right side
    377.59x = 190,056.82
  5. Step 5: Solve for x
    x = 190,056.82/377.59
  6. Step 6: Final answer
    x = 503.34

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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.