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Finding the Fourth Proportional to 381.93, 529.94 and 366.50

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Solution

The fourth proportional to 381.93, 529.94 and 366.50 is: 508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.93 : 529.94 = 366.50 : x
  2. Step 2: Convert to fraction form
    381.93/529.94 = 366.50/x
  3. Step 3: Cross multiply
    381.93x = 529.94 × 366.50
  4. Step 4: Simplify right side
    381.93x = 194,222.09
  5. Step 5: Solve for x
    x = 194,222.09/381.93
  6. Step 6: Final answer
    x = 508.53

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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.