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Finding the Fourth Proportional to 309.37, 461.44 and 260.94

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Solution

The fourth proportional to 309.37, 461.44 and 260.94 is: 389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.37 : 461.44 = 260.94 : x
  2. Step 2: Convert to fraction form
    309.37/461.44 = 260.94/x
  3. Step 3: Cross multiply
    309.37x = 461.44 × 260.94
  4. Step 4: Simplify right side
    309.37x = 120,408.15
  5. Step 5: Solve for x
    x = 120,408.15/309.37
  6. Step 6: Final answer
    x = 389.20

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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.