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Finding the Fourth Proportional to 379.83, 566.19 and 359.31

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Solution

The fourth proportional to 379.83, 566.19 and 359.31 is: 535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.83 : 566.19 = 359.31 : x
  2. Step 2: Convert to fraction form
    379.83/566.19 = 359.31/x
  3. Step 3: Cross multiply
    379.83x = 566.19 × 359.31
  4. Step 4: Simplify right side
    379.83x = 203,437.73
  5. Step 5: Solve for x
    x = 203,437.73/379.83
  6. Step 6: Final answer
    x = 535.60

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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.