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Finding the Fourth Proportional to 377.07, 564.89 and 214.88

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Solution

The fourth proportional to 377.07, 564.89 and 214.88 is: 321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.07 : 564.89 = 214.88 : x
  2. Step 2: Convert to fraction form
    377.07/564.89 = 214.88/x
  3. Step 3: Cross multiply
    377.07x = 564.89 × 214.88
  4. Step 4: Simplify right side
    377.07x = 121,379.66
  5. Step 5: Solve for x
    x = 121,379.66/377.07
  6. Step 6: Final answer
    x = 321.90

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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.