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Finding the Fourth Proportional to 393.36, 589.20 and 256.05

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Solution

The fourth proportional to 393.36, 589.20 and 256.05 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.36 : 589.20 = 256.05 : x
  2. Step 2: Convert to fraction form
    393.36/589.20 = 256.05/x
  3. Step 3: Cross multiply
    393.36x = 589.20 × 256.05
  4. Step 4: Simplify right side
    393.36x = 150,864.66
  5. Step 5: Solve for x
    x = 150,864.66/393.36
  6. Step 6: Final answer
    x = 383.53

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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.