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Finding the Fourth Proportional to 397.61, 596.23 and 258.65

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Solution

The fourth proportional to 397.61, 596.23 and 258.65 is: 387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.61 : 596.23 = 258.65 : x
  2. Step 2: Convert to fraction form
    397.61/596.23 = 258.65/x
  3. Step 3: Cross multiply
    397.61x = 596.23 × 258.65
  4. Step 4: Simplify right side
    397.61x = 154,213.40
  5. Step 5: Solve for x
    x = 154,213.40/397.61
  6. Step 6: Final answer
    x = 387.85

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