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Finding the Fourth Proportional to 311.96, 465.67 and 286.28

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Solution

The fourth proportional to 311.96, 465.67 and 286.28 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.96 : 465.67 = 286.28 : x
  2. Step 2: Convert to fraction form
    311.96/465.67 = 286.28/x
  3. Step 3: Cross multiply
    311.96x = 465.67 × 286.28
  4. Step 4: Simplify right side
    311.96x = 133,312.01
  5. Step 5: Solve for x
    x = 133,312.01/311.96
  6. Step 6: Final answer
    x = 427.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.