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Finding the Fourth Proportional to 300.30, 410.12 and 297.06

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Solution

The fourth proportional to 300.30, 410.12 and 297.06 is: 405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.30 : 410.12 = 297.06 : x
  2. Step 2: Convert to fraction form
    300.30/410.12 = 297.06/x
  3. Step 3: Cross multiply
    300.30x = 410.12 × 297.06
  4. Step 4: Simplify right side
    300.30x = 121,828.76
  5. Step 5: Solve for x
    x = 121,828.76/300.30
  6. Step 6: Final answer
    x = 405.69

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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.