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Finding the Fourth Proportional to 300.07, 412.86 and 234.46

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Solution

The fourth proportional to 300.07, 412.86 and 234.46 is: 322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.07 : 412.86 = 234.46 : x
  2. Step 2: Convert to fraction form
    300.07/412.86 = 234.46/x
  3. Step 3: Cross multiply
    300.07x = 412.86 × 234.46
  4. Step 4: Simplify right side
    300.07x = 96,799.16
  5. Step 5: Solve for x
    x = 96,799.16/300.07
  6. Step 6: Final answer
    x = 322.59

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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.