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Finding the Fourth Proportional to 328.39, 492.78 and 133.48

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Solution

The fourth proportional to 328.39, 492.78 and 133.48 is: 200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.39 : 492.78 = 133.48 : x
  2. Step 2: Convert to fraction form
    328.39/492.78 = 133.48/x
  3. Step 3: Cross multiply
    328.39x = 492.78 × 133.48
  4. Step 4: Simplify right side
    328.39x = 65,776.27
  5. Step 5: Solve for x
    x = 65,776.27/328.39
  6. Step 6: Final answer
    x = 200.30

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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.