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Finding the Fourth Proportional to 313.21, 467.42 and 278.61

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Solution

The fourth proportional to 313.21, 467.42 and 278.61 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.21 : 467.42 = 278.61 : x
  2. Step 2: Convert to fraction form
    313.21/467.42 = 278.61/x
  3. Step 3: Cross multiply
    313.21x = 467.42 × 278.61
  4. Step 4: Simplify right side
    313.21x = 130,228.58
  5. Step 5: Solve for x
    x = 130,228.58/313.21
  6. Step 6: Final answer
    x = 415.79

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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.