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Finding the Fourth Proportional to 379.89, 566.29 and 359.37

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Solution

The fourth proportional to 379.89, 566.29 and 359.37 is: 535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.89 : 566.29 = 359.37 : x
  2. Step 2: Convert to fraction form
    379.89/566.29 = 359.37/x
  3. Step 3: Cross multiply
    379.89x = 566.29 × 359.37
  4. Step 4: Simplify right side
    379.89x = 203,507.64
  5. Step 5: Solve for x
    x = 203,507.64/379.89
  6. Step 6: Final answer
    x = 535.70

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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.