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Finding the Fourth Proportional to 309.22, 461.76 and 293.42

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Solution

The fourth proportional to 309.22, 461.76 and 293.42 is: 438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 461.76 = 293.42 : x
  2. Step 2: Convert to fraction form
    309.22/461.76 = 293.42/x
  3. Step 3: Cross multiply
    309.22x = 461.76 × 293.42
  4. Step 4: Simplify right side
    309.22x = 135,489.62
  5. Step 5: Solve for x
    x = 135,489.62/309.22
  6. Step 6: Final answer
    x = 438.17

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