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Finding the Fourth Proportional to 299.00, 412.53 and 172.97

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Solution

The fourth proportional to 299.00, 412.53 and 172.97 is: 238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.00 : 412.53 = 172.97 : x
  2. Step 2: Convert to fraction form
    299.00/412.53 = 172.97/x
  3. Step 3: Cross multiply
    299.00x = 412.53 × 172.97
  4. Step 4: Simplify right side
    299.00x = 71,353.25
  5. Step 5: Solve for x
    x = 71,353.25/299.00
  6. Step 6: Final answer
    x = 238.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.