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Finding the Fourth Proportional to 309.26, 425.56 and 286.02

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Solution

The fourth proportional to 309.26, 425.56 and 286.02 is: 393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 425.56 = 286.02 : x
  2. Step 2: Convert to fraction form
    309.26/425.56 = 286.02/x
  3. Step 3: Cross multiply
    309.26x = 425.56 × 286.02
  4. Step 4: Simplify right side
    309.26x = 121,718.67
  5. Step 5: Solve for x
    x = 121,718.67/309.26
  6. Step 6: Final answer
    x = 393.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.