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Finding the Fourth Proportional to 377.23, 565.91 and 214.57

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Solution

The fourth proportional to 377.23, 565.91 and 214.57 is: 321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.23 : 565.91 = 214.57 : x
  2. Step 2: Convert to fraction form
    377.23/565.91 = 214.57/x
  3. Step 3: Cross multiply
    377.23x = 565.91 × 214.57
  4. Step 4: Simplify right side
    377.23x = 121,427.31
  5. Step 5: Solve for x
    x = 121,427.31/377.23
  6. Step 6: Final answer
    x = 321.89

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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.