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Finding the Fourth Proportional to 328.95, 490.25 and 328.44

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Solution

The fourth proportional to 328.95, 490.25 and 328.44 is: 489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.95 : 490.25 = 328.44 : x
  2. Step 2: Convert to fraction form
    328.95/490.25 = 328.44/x
  3. Step 3: Cross multiply
    328.95x = 490.25 × 328.44
  4. Step 4: Simplify right side
    328.95x = 161,017.71
  5. Step 5: Solve for x
    x = 161,017.71/328.95
  6. Step 6: Final answer
    x = 489.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.