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Finding the Fourth Proportional to 309, 460.77 and 286.68

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Solution

The fourth proportional to 309, 460.77 and 286.68 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 460.77 = 286.68 : x
  2. Step 2: Convert to fraction form
    309/460.77 = 286.68/x
  3. Step 3: Cross multiply
    309x = 460.77 × 286.68
  4. Step 4: Simplify right side
    309x = 132,093.54
  5. Step 5: Solve for x
    x = 132,093.54/309
  6. Step 6: Final answer
    x = 427.49

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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.