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Finding the Fourth Proportional to 377.84, 566.91 and 213.33

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Solution

The fourth proportional to 377.84, 566.91 and 213.33 is: 320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.84 : 566.91 = 213.33 : x
  2. Step 2: Convert to fraction form
    377.84/566.91 = 213.33/x
  3. Step 3: Cross multiply
    377.84x = 566.91 × 213.33
  4. Step 4: Simplify right side
    377.84x = 120,936.55
  5. Step 5: Solve for x
    x = 120,936.55/377.84
  6. Step 6: Final answer
    x = 320.08

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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.