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Finding the Fourth Proportional to 309.43, 461.63 and 301.06

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Solution

The fourth proportional to 309.43, 461.63 and 301.06 is: 449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.43 : 461.63 = 301.06 : x
  2. Step 2: Convert to fraction form
    309.43/461.63 = 301.06/x
  3. Step 3: Cross multiply
    309.43x = 461.63 × 301.06
  4. Step 4: Simplify right side
    309.43x = 138,978.33
  5. Step 5: Solve for x
    x = 138,978.33/309.43
  6. Step 6: Final answer
    x = 449.14

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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.