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Finding the Fourth Proportional to 379.23, 566.19 and 356.06

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Solution

The fourth proportional to 379.23, 566.19 and 356.06 is: 531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.23 : 566.19 = 356.06 : x
  2. Step 2: Convert to fraction form
    379.23/566.19 = 356.06/x
  3. Step 3: Cross multiply
    379.23x = 566.19 × 356.06
  4. Step 4: Simplify right side
    379.23x = 201,594.78
  5. Step 5: Solve for x
    x = 201,594.78/379.23
  6. Step 6: Final answer
    x = 531.59

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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.