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Finding the Fourth Proportional to 309.26, 461.58 and 259.58

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Solution

The fourth proportional to 309.26, 461.58 and 259.58 is: 387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 461.58 = 259.58 : x
  2. Step 2: Convert to fraction form
    309.26/461.58 = 259.58/x
  3. Step 3: Cross multiply
    309.26x = 461.58 × 259.58
  4. Step 4: Simplify right side
    309.26x = 119,816.94
  5. Step 5: Solve for x
    x = 119,816.94/309.26
  6. Step 6: Final answer
    x = 387.43

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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.