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Finding the Fourth Proportional to 313.77, 469.60 and 192.12

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Solution

The fourth proportional to 313.77, 469.60 and 192.12 is: 287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.77 : 469.60 = 192.12 : x
  2. Step 2: Convert to fraction form
    313.77/469.60 = 192.12/x
  3. Step 3: Cross multiply
    313.77x = 469.60 × 192.12
  4. Step 4: Simplify right side
    313.77x = 90,219.95
  5. Step 5: Solve for x
    x = 90,219.95/313.77
  6. Step 6: Final answer
    x = 287.53

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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.