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Finding the Fourth Proportional to 309.26, 461.72 and 260.66

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Solution

The fourth proportional to 309.26, 461.72 and 260.66 is: 389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 461.72 = 260.66 : x
  2. Step 2: Convert to fraction form
    309.26/461.72 = 260.66/x
  3. Step 3: Cross multiply
    309.26x = 461.72 × 260.66
  4. Step 4: Simplify right side
    309.26x = 120,351.94
  5. Step 5: Solve for x
    x = 120,351.94/309.26
  6. Step 6: Final answer
    x = 389.16

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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.