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Finding the Fourth Proportional to 379.66, 566.57 and 334.12

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Solution

The fourth proportional to 379.66, 566.57 and 334.12 is: 498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.66 : 566.57 = 334.12 : x
  2. Step 2: Convert to fraction form
    379.66/566.57 = 334.12/x
  3. Step 3: Cross multiply
    379.66x = 566.57 × 334.12
  4. Step 4: Simplify right side
    379.66x = 189,302.37
  5. Step 5: Solve for x
    x = 189,302.37/379.66
  6. Step 6: Final answer
    x = 498.61

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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.