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Finding the Fourth Proportional to 328.13, 491.86 and 122.57

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Solution

The fourth proportional to 328.13, 491.86 and 122.57 is: 183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.13 : 491.86 = 122.57 : x
  2. Step 2: Convert to fraction form
    328.13/491.86 = 122.57/x
  3. Step 3: Cross multiply
    328.13x = 491.86 × 122.57
  4. Step 4: Simplify right side
    328.13x = 60,287.28
  5. Step 5: Solve for x
    x = 60,287.28/328.13
  6. Step 6: Final answer
    x = 183.73

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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.