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Finding the Fourth Proportional to 379.50, 566.54 and 321.33

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Solution

The fourth proportional to 379.50, 566.54 and 321.33 is: 479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 566.54 = 321.33 : x
  2. Step 2: Convert to fraction form
    379.50/566.54 = 321.33/x
  3. Step 3: Cross multiply
    379.50x = 566.54 × 321.33
  4. Step 4: Simplify right side
    379.50x = 182,044.69
  5. Step 5: Solve for x
    x = 182,044.69/379.50
  6. Step 6: Final answer
    x = 479.70

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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.