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Finding the Fourth Proportional to 325.88, 489.94 and 258.24

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Solution

The fourth proportional to 325.88, 489.94 and 258.24 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.88 : 489.94 = 258.24 : x
  2. Step 2: Convert to fraction form
    325.88/489.94 = 258.24/x
  3. Step 3: Cross multiply
    325.88x = 489.94 × 258.24
  4. Step 4: Simplify right side
    325.88x = 126,522.11
  5. Step 5: Solve for x
    x = 126,522.11/325.88
  6. Step 6: Final answer
    x = 388.25

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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.