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Finding the Fourth Proportional to 496.26, 684.89 and 309.77

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Solution

The fourth proportional to 496.26, 684.89 and 309.77 is: 427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.26 : 684.89 = 309.77 : x
  2. Step 2: Convert to fraction form
    496.26/684.89 = 309.77/x
  3. Step 3: Cross multiply
    496.26x = 684.89 × 309.77
  4. Step 4: Simplify right side
    496.26x = 212,153.40
  5. Step 5: Solve for x
    x = 212,153.40/496.26
  6. Step 6: Final answer
    x = 427.50

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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.