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Finding the Fourth Proportional to 395.78, 596.35 and 328.81

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Solution

The fourth proportional to 395.78, 596.35 and 328.81 is: 495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 596.35 = 328.81 : x
  2. Step 2: Convert to fraction form
    395.78/596.35 = 328.81/x
  3. Step 3: Cross multiply
    395.78x = 596.35 × 328.81
  4. Step 4: Simplify right side
    395.78x = 196,085.84
  5. Step 5: Solve for x
    x = 196,085.84/395.78
  6. Step 6: Final answer
    x = 495.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.