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Finding the Fourth Proportional to 309.42, 460.22 and 308.34

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Solution

The fourth proportional to 309.42, 460.22 and 308.34 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 460.22 = 308.34 : x
  2. Step 2: Convert to fraction form
    309.42/460.22 = 308.34/x
  3. Step 3: Cross multiply
    309.42x = 460.22 × 308.34
  4. Step 4: Simplify right side
    309.42x = 141,902.69
  5. Step 5: Solve for x
    x = 141,902.69/309.42
  6. Step 6: Final answer
    x = 458.61

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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.