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Finding the Fourth Proportional to 381.96, 529.30 and 374.66

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Solution

The fourth proportional to 381.96, 529.30 and 374.66 is: 519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 529.30 = 374.66 : x
  2. Step 2: Convert to fraction form
    381.96/529.30 = 374.66/x
  3. Step 3: Cross multiply
    381.96x = 529.30 × 374.66
  4. Step 4: Simplify right side
    381.96x = 198,307.54
  5. Step 5: Solve for x
    x = 198,307.54/381.96
  6. Step 6: Final answer
    x = 519.18

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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.