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Finding the Fourth Proportional to 377.57, 565.98 and 213.13

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Solution

The fourth proportional to 377.57, 565.98 and 213.13 is: 319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.57 : 565.98 = 213.13 : x
  2. Step 2: Convert to fraction form
    377.57/565.98 = 213.13/x
  3. Step 3: Cross multiply
    377.57x = 565.98 × 213.13
  4. Step 4: Simplify right side
    377.57x = 120,625.24
  5. Step 5: Solve for x
    x = 120,625.24/377.57
  6. Step 6: Final answer
    x = 319.48

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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.