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Finding the Fourth Proportional to 328.15, 491.89 and 133.09

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Solution

The fourth proportional to 328.15, 491.89 and 133.09 is: 199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.15 : 491.89 = 133.09 : x
  2. Step 2: Convert to fraction form
    328.15/491.89 = 133.09/x
  3. Step 3: Cross multiply
    328.15x = 491.89 × 133.09
  4. Step 4: Simplify right side
    328.15x = 65,465.64
  5. Step 5: Solve for x
    x = 65,465.64/328.15
  6. Step 6: Final answer
    x = 199.50

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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.