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Finding the Fourth Proportional to 299.80, 412.74 and 237.29

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Solution

The fourth proportional to 299.80, 412.74 and 237.29 is: 326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 412.74 = 237.29 : x
  2. Step 2: Convert to fraction form
    299.80/412.74 = 237.29/x
  3. Step 3: Cross multiply
    299.80x = 412.74 × 237.29
  4. Step 4: Simplify right side
    299.80x = 97,939.07
  5. Step 5: Solve for x
    x = 97,939.07/299.80
  6. Step 6: Final answer
    x = 326.69

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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.