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Finding the Fourth Proportional to 328.74, 492.84 and 133.62

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Solution

The fourth proportional to 328.74, 492.84 and 133.62 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.74 : 492.84 = 133.62 : x
  2. Step 2: Convert to fraction form
    328.74/492.84 = 133.62/x
  3. Step 3: Cross multiply
    328.74x = 492.84 × 133.62
  4. Step 4: Simplify right side
    328.74x = 65,853.28
  5. Step 5: Solve for x
    x = 65,853.28/328.74
  6. Step 6: Final answer
    x = 200.32

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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.