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Finding the Fourth Proportional to 393.78, 589.44 and 256.53

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Solution

The fourth proportional to 393.78, 589.44 and 256.53 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.78 : 589.44 = 256.53 : x
  2. Step 2: Convert to fraction form
    393.78/589.44 = 256.53/x
  3. Step 3: Cross multiply
    393.78x = 589.44 × 256.53
  4. Step 4: Simplify right side
    393.78x = 151,209.04
  5. Step 5: Solve for x
    x = 151,209.04/393.78
  6. Step 6: Final answer
    x = 383.99

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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.