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Finding the Fourth Proportional to 395.64, 596.16 and 325.08

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Solution

The fourth proportional to 395.64, 596.16 and 325.08 is: 489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 596.16 = 325.08 : x
  2. Step 2: Convert to fraction form
    395.64/596.16 = 325.08/x
  3. Step 3: Cross multiply
    395.64x = 596.16 × 325.08
  4. Step 4: Simplify right side
    395.64x = 193,799.69
  5. Step 5: Solve for x
    x = 193,799.69/395.64
  6. Step 6: Final answer
    x = 489.84

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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.