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Finding the Fourth Proportional to 379.86, 566.82 and 330.66

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Solution

The fourth proportional to 379.86, 566.82 and 330.66 is: 493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.86 : 566.82 = 330.66 : x
  2. Step 2: Convert to fraction form
    379.86/566.82 = 330.66/x
  3. Step 3: Cross multiply
    379.86x = 566.82 × 330.66
  4. Step 4: Simplify right side
    379.86x = 187,424.04
  5. Step 5: Solve for x
    x = 187,424.04/379.86
  6. Step 6: Final answer
    x = 493.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.