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Finding the Fourth Proportional to 393.06, 586.16 and 344.54

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Solution

The fourth proportional to 393.06, 586.16 and 344.54 is: 513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.06 : 586.16 = 344.54 : x
  2. Step 2: Convert to fraction form
    393.06/586.16 = 344.54/x
  3. Step 3: Cross multiply
    393.06x = 586.16 × 344.54
  4. Step 4: Simplify right side
    393.06x = 201,954.96
  5. Step 5: Solve for x
    x = 201,954.96/393.06
  6. Step 6: Final answer
    x = 513.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.