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Finding the Fourth Proportional to 312.34, 427.91 and 300.66

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Solution

The fourth proportional to 312.34, 427.91 and 300.66 is: 411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.34 : 427.91 = 300.66 : x
  2. Step 2: Convert to fraction form
    312.34/427.91 = 300.66/x
  3. Step 3: Cross multiply
    312.34x = 427.91 × 300.66
  4. Step 4: Simplify right side
    312.34x = 128,653.52
  5. Step 5: Solve for x
    x = 128,653.52/312.34
  6. Step 6: Final answer
    x = 411.90

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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.