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Finding the Fourth Proportional to 623.76, 935.72 and 212.78

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Solution

The fourth proportional to 623.76, 935.72 and 212.78 is: 319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.76 : 935.72 = 212.78 : x
  2. Step 2: Convert to fraction form
    623.76/935.72 = 212.78/x
  3. Step 3: Cross multiply
    623.76x = 935.72 × 212.78
  4. Step 4: Simplify right side
    623.76x = 199,105.68
  5. Step 5: Solve for x
    x = 199,105.68/623.76
  6. Step 6: Final answer
    x = 319.20

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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.