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Finding the Fourth Proportional to 312.75, 428.46 and 301.07

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Solution

The fourth proportional to 312.75, 428.46 and 301.07 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 428.46 = 301.07 : x
  2. Step 2: Convert to fraction form
    312.75/428.46 = 301.07/x
  3. Step 3: Cross multiply
    312.75x = 428.46 × 301.07
  4. Step 4: Simplify right side
    312.75x = 128,994.31
  5. Step 5: Solve for x
    x = 128,994.31/312.75
  6. Step 6: Final answer
    x = 412.45

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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.