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Finding the Fourth Proportional to 393.81, 588.59 and 344.00

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Solution

The fourth proportional to 393.81, 588.59 and 344.00 is: 514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.81 : 588.59 = 344.00 : x
  2. Step 2: Convert to fraction form
    393.81/588.59 = 344.00/x
  3. Step 3: Cross multiply
    393.81x = 588.59 × 344.00
  4. Step 4: Simplify right side
    393.81x = 202,476.89
  5. Step 5: Solve for x
    x = 202,476.89/393.81
  6. Step 6: Final answer
    x = 514.15

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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.