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Finding the Fourth Proportional to 311.74, 427.91 and 283.93

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Solution

The fourth proportional to 311.74, 427.91 and 283.93 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.74 : 427.91 = 283.93 : x
  2. Step 2: Convert to fraction form
    311.74/427.91 = 283.93/x
  3. Step 3: Cross multiply
    311.74x = 427.91 × 283.93
  4. Step 4: Simplify right side
    311.74x = 121,494.00
  5. Step 5: Solve for x
    x = 121,494.00/311.74
  6. Step 6: Final answer
    x = 389.73

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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.