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Finding the Fourth Proportional to 393.93, 589.86 and 256.77

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Solution

The fourth proportional to 393.93, 589.86 and 256.77 is: 384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.93 : 589.86 = 256.77 : x
  2. Step 2: Convert to fraction form
    393.93/589.86 = 256.77/x
  3. Step 3: Cross multiply
    393.93x = 589.86 × 256.77
  4. Step 4: Simplify right side
    393.93x = 151,458.35
  5. Step 5: Solve for x
    x = 151,458.35/393.93
  6. Step 6: Final answer
    x = 384.48

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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.