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Finding the Fourth Proportional to 328.53, 492.42 and 213.18

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Solution

The fourth proportional to 328.53, 492.42 and 213.18 is: 319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.53 : 492.42 = 213.18 : x
  2. Step 2: Convert to fraction form
    328.53/492.42 = 213.18/x
  3. Step 3: Cross multiply
    328.53x = 492.42 × 213.18
  4. Step 4: Simplify right side
    328.53x = 104,974.10
  5. Step 5: Solve for x
    x = 104,974.10/328.53
  6. Step 6: Final answer
    x = 319.53

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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.