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Finding the Fourth Proportional to 328.42, 491.45 and 197.96

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Solution

The fourth proportional to 328.42, 491.45 and 197.96 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.42 : 491.45 = 197.96 : x
  2. Step 2: Convert to fraction form
    328.42/491.45 = 197.96/x
  3. Step 3: Cross multiply
    328.42x = 491.45 × 197.96
  4. Step 4: Simplify right side
    328.42x = 97,283.99
  5. Step 5: Solve for x
    x = 97,283.99/328.42
  6. Step 6: Final answer
    x = 296.22

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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.