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Finding the Fourth Proportional to 300.35, 417.35 and 297.15

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Solution

The fourth proportional to 300.35, 417.35 and 297.15 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.35 : 417.35 = 297.15 : x
  2. Step 2: Convert to fraction form
    300.35/417.35 = 297.15/x
  3. Step 3: Cross multiply
    300.35x = 417.35 × 297.15
  4. Step 4: Simplify right side
    300.35x = 124,014.07
  5. Step 5: Solve for x
    x = 124,014.07/300.35
  6. Step 6: Final answer
    x = 412.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.