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Finding the Fourth Proportional to 313.12, 467.60 and 309.73

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Solution

The fourth proportional to 313.12, 467.60 and 309.73 is: 462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.12 : 467.60 = 309.73 : x
  2. Step 2: Convert to fraction form
    313.12/467.60 = 309.73/x
  3. Step 3: Cross multiply
    313.12x = 467.60 × 309.73
  4. Step 4: Simplify right side
    313.12x = 144,829.75
  5. Step 5: Solve for x
    x = 144,829.75/313.12
  6. Step 6: Final answer
    x = 462.54

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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.