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Finding the Fourth Proportional to 328.69, 492.08 and 199.57

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Solution

The fourth proportional to 328.69, 492.08 and 199.57 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.69 : 492.08 = 199.57 : x
  2. Step 2: Convert to fraction form
    328.69/492.08 = 199.57/x
  3. Step 3: Cross multiply
    328.69x = 492.08 × 199.57
  4. Step 4: Simplify right side
    328.69x = 98,203.41
  5. Step 5: Solve for x
    x = 98,203.41/328.69
  6. Step 6: Final answer
    x = 298.77

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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.