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Finding the Fourth Proportional to 377.22, 520.58 and 211.50

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Solution

The fourth proportional to 377.22, 520.58 and 211.50 is: 291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.22 : 520.58 = 211.50 : x
  2. Step 2: Convert to fraction form
    377.22/520.58 = 211.50/x
  3. Step 3: Cross multiply
    377.22x = 520.58 × 211.50
  4. Step 4: Simplify right side
    377.22x = 110,102.67
  5. Step 5: Solve for x
    x = 110,102.67/377.22
  6. Step 6: Final answer
    x = 291.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.