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Finding the Fourth Proportional to 328.63, 492.99 and 133.64

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Solution

The fourth proportional to 328.63, 492.99 and 133.64 is: 200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.63 : 492.99 = 133.64 : x
  2. Step 2: Convert to fraction form
    328.63/492.99 = 133.64/x
  3. Step 3: Cross multiply
    328.63x = 492.99 × 133.64
  4. Step 4: Simplify right side
    328.63x = 65,883.18
  5. Step 5: Solve for x
    x = 65,883.18/328.63
  6. Step 6: Final answer
    x = 200.48

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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.