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Finding the Fourth Proportional to 300.48, 412.34 and 297.07

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Solution

The fourth proportional to 300.48, 412.34 and 297.07 is: 407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.48 : 412.34 = 297.07 : x
  2. Step 2: Convert to fraction form
    300.48/412.34 = 297.07/x
  3. Step 3: Cross multiply
    300.48x = 412.34 × 297.07
  4. Step 4: Simplify right side
    300.48x = 122,493.00
  5. Step 5: Solve for x
    x = 122,493.00/300.48
  6. Step 6: Final answer
    x = 407.65

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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.