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Finding the Fourth Proportional to 313.25, 467.64 and 272.25

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Solution

The fourth proportional to 313.25, 467.64 and 272.25 is: 406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.25 : 467.64 = 272.25 : x
  2. Step 2: Convert to fraction form
    313.25/467.64 = 272.25/x
  3. Step 3: Cross multiply
    313.25x = 467.64 × 272.25
  4. Step 4: Simplify right side
    313.25x = 127,314.99
  5. Step 5: Solve for x
    x = 127,314.99/313.25
  6. Step 6: Final answer
    x = 406.44

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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.