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Finding the Fourth Proportional to 623.81, 935.81 and 212.84

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Solution

The fourth proportional to 623.81, 935.81 and 212.84 is: 319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.81 : 935.81 = 212.84 : x
  2. Step 2: Convert to fraction form
    623.81/935.81 = 212.84/x
  3. Step 3: Cross multiply
    623.81x = 935.81 × 212.84
  4. Step 4: Simplify right side
    623.81x = 199,172.06
  5. Step 5: Solve for x
    x = 199,172.06/623.81
  6. Step 6: Final answer
    x = 319.29

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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.