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Finding the Fourth Proportional to 379.31, 566.71 and 334.19

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Solution

The fourth proportional to 379.31, 566.71 and 334.19 is: 499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.31 : 566.71 = 334.19 : x
  2. Step 2: Convert to fraction form
    379.31/566.71 = 334.19/x
  3. Step 3: Cross multiply
    379.31x = 566.71 × 334.19
  4. Step 4: Simplify right side
    379.31x = 189,389.40
  5. Step 5: Solve for x
    x = 189,389.40/379.31
  6. Step 6: Final answer
    x = 499.31

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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.