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Finding the Fourth Proportional to 393.28, 586.56 and 386.80

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Solution

The fourth proportional to 393.28, 586.56 and 386.80 is: 576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.28 : 586.56 = 386.80 : x
  2. Step 2: Convert to fraction form
    393.28/586.56 = 386.80/x
  3. Step 3: Cross multiply
    393.28x = 586.56 × 386.80
  4. Step 4: Simplify right side
    393.28x = 226,881.41
  5. Step 5: Solve for x
    x = 226,881.41/393.28
  6. Step 6: Final answer
    x = 576.90

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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.