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Finding the Fourth Proportional to 300.45, 412.10 and 288.30

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Solution

The fourth proportional to 300.45, 412.10 and 288.30 is: 395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.45 : 412.10 = 288.30 : x
  2. Step 2: Convert to fraction form
    300.45/412.10 = 288.30/x
  3. Step 3: Cross multiply
    300.45x = 412.10 × 288.30
  4. Step 4: Simplify right side
    300.45x = 118,809.15
  5. Step 5: Solve for x
    x = 118,809.15/300.45
  6. Step 6: Final answer
    x = 395.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.