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Finding the Fourth Proportional to 313.48, 467.67 and 305.43

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Solution

The fourth proportional to 313.48, 467.67 and 305.43 is: 455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.48 : 467.67 = 305.43 : x
  2. Step 2: Convert to fraction form
    313.48/467.67 = 305.43/x
  3. Step 3: Cross multiply
    313.48x = 467.67 × 305.43
  4. Step 4: Simplify right side
    313.48x = 142,840.45
  5. Step 5: Solve for x
    x = 142,840.45/313.48
  6. Step 6: Final answer
    x = 455.66

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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.