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Finding the Fourth Proportional to 313.25, 470.78 and 309.60

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Solution

The fourth proportional to 313.25, 470.78 and 309.60 is: 465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.25 : 470.78 = 309.60 : x
  2. Step 2: Convert to fraction form
    313.25/470.78 = 309.60/x
  3. Step 3: Cross multiply
    313.25x = 470.78 × 309.60
  4. Step 4: Simplify right side
    313.25x = 145,751.94
  5. Step 5: Solve for x
    x = 145,751.94/313.25
  6. Step 6: Final answer
    x = 465.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.