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Finding the Fourth Proportional to 379.99, 566.91 and 377.26

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Solution

The fourth proportional to 379.99, 566.91 and 377.26 is: 562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.99 : 566.91 = 377.26 : x
  2. Step 2: Convert to fraction form
    379.99/566.91 = 377.26/x
  3. Step 3: Cross multiply
    379.99x = 566.91 × 377.26
  4. Step 4: Simplify right side
    379.99x = 213,871.58
  5. Step 5: Solve for x
    x = 213,871.58/379.99
  6. Step 6: Final answer
    x = 562.83

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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.