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Finding the Fourth Proportional to 328.90, 489.84 and 325.12

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Solution

The fourth proportional to 328.90, 489.84 and 325.12 is: 484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.90 : 489.84 = 325.12 : x
  2. Step 2: Convert to fraction form
    328.90/489.84 = 325.12/x
  3. Step 3: Cross multiply
    328.90x = 489.84 × 325.12
  4. Step 4: Simplify right side
    328.90x = 159,256.78
  5. Step 5: Solve for x
    x = 159,256.78/328.90
  6. Step 6: Final answer
    x = 484.21

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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.