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Finding the Fourth Proportional to 377.31, 520.70 and 222.06

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Solution

The fourth proportional to 377.31, 520.70 and 222.06 is: 306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.31 : 520.70 = 222.06 : x
  2. Step 2: Convert to fraction form
    377.31/520.70 = 222.06/x
  3. Step 3: Cross multiply
    377.31x = 520.70 × 222.06
  4. Step 4: Simplify right side
    377.31x = 115,626.64
  5. Step 5: Solve for x
    x = 115,626.64/377.31
  6. Step 6: Final answer
    x = 306.45

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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.