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Finding the Fourth Proportional to 379.74, 566.94 and 356.56

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Solution

The fourth proportional to 379.74, 566.94 and 356.56 is: 532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.74 : 566.94 = 356.56 : x
  2. Step 2: Convert to fraction form
    379.74/566.94 = 356.56/x
  3. Step 3: Cross multiply
    379.74x = 566.94 × 356.56
  4. Step 4: Simplify right side
    379.74x = 202,148.13
  5. Step 5: Solve for x
    x = 202,148.13/379.74
  6. Step 6: Final answer
    x = 532.33

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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.