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Finding the Fourth Proportional to 309.05, 423.74 and 293.39

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Solution

The fourth proportional to 309.05, 423.74 and 293.39 is: 402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.05 : 423.74 = 293.39 : x
  2. Step 2: Convert to fraction form
    309.05/423.74 = 293.39/x
  3. Step 3: Cross multiply
    309.05x = 423.74 × 293.39
  4. Step 4: Simplify right side
    309.05x = 124,317.49
  5. Step 5: Solve for x
    x = 124,317.49/309.05
  6. Step 6: Final answer
    x = 402.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.