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Finding the Fourth Proportional to 312.21, 467.91 and 279.51

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Solution

The fourth proportional to 312.21, 467.91 and 279.51 is: 418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.21 : 467.91 = 279.51 : x
  2. Step 2: Convert to fraction form
    312.21/467.91 = 279.51/x
  3. Step 3: Cross multiply
    312.21x = 467.91 × 279.51
  4. Step 4: Simplify right side
    312.21x = 130,785.52
  5. Step 5: Solve for x
    x = 130,785.52/312.21
  6. Step 6: Final answer
    x = 418.90

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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.