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Finding the Fourth Proportional to 328.50, 492.89 and 200.25

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Solution

The fourth proportional to 328.50, 492.89 and 200.25 is: 300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.50 : 492.89 = 200.25 : x
  2. Step 2: Convert to fraction form
    328.50/492.89 = 200.25/x
  3. Step 3: Cross multiply
    328.50x = 492.89 × 200.25
  4. Step 4: Simplify right side
    328.50x = 98,700.22
  5. Step 5: Solve for x
    x = 98,700.22/328.50
  6. Step 6: Final answer
    x = 300.46

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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.