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Finding the Fourth Proportional to 311.26, 469 and 258.34

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Solution

The fourth proportional to 311.26, 469 and 258.34 is: 389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.26 : 469 = 258.34 : x
  2. Step 2: Convert to fraction form
    311.26/469 = 258.34/x
  3. Step 3: Cross multiply
    311.26x = 469 × 258.34
  4. Step 4: Simplify right side
    311.26x = 121,161.46
  5. Step 5: Solve for x
    x = 121,161.46/311.26
  6. Step 6: Final answer
    x = 389.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.