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Finding the Fourth Proportional to 608.27, 839.46 and 346.31

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Solution

The fourth proportional to 608.27, 839.46 and 346.31 is: 477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.27 : 839.46 = 346.31 : x
  2. Step 2: Convert to fraction form
    608.27/839.46 = 346.31/x
  3. Step 3: Cross multiply
    608.27x = 839.46 × 346.31
  4. Step 4: Simplify right side
    608.27x = 290,713.39
  5. Step 5: Solve for x
    x = 290,713.39/608.27
  6. Step 6: Final answer
    x = 477.93

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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.