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Finding the Fourth Proportional to 299.01, 412.76 and 225.35

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Solution

The fourth proportional to 299.01, 412.76 and 225.35 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.01 : 412.76 = 225.35 : x
  2. Step 2: Convert to fraction form
    299.01/412.76 = 225.35/x
  3. Step 3: Cross multiply
    299.01x = 412.76 × 225.35
  4. Step 4: Simplify right side
    299.01x = 93,012.28
  5. Step 5: Solve for x
    x = 93,012.28/299.01
  6. Step 6: Final answer
    x = 311.07

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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.