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Finding the Fourth Proportional to 379.44, 568.76 and 214.98

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Solution

The fourth proportional to 379.44, 568.76 and 214.98 is: 322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.44 : 568.76 = 214.98 : x
  2. Step 2: Convert to fraction form
    379.44/568.76 = 214.98/x
  3. Step 3: Cross multiply
    379.44x = 568.76 × 214.98
  4. Step 4: Simplify right side
    379.44x = 122,272.02
  5. Step 5: Solve for x
    x = 122,272.02/379.44
  6. Step 6: Final answer
    x = 322.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.