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Finding the Fourth Proportional to 312.11, 467.90 and 173.28

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Solution

The fourth proportional to 312.11, 467.90 and 173.28 is: 259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.11 : 467.90 = 173.28 : x
  2. Step 2: Convert to fraction form
    312.11/467.90 = 173.28/x
  3. Step 3: Cross multiply
    312.11x = 467.90 × 173.28
  4. Step 4: Simplify right side
    312.11x = 81,075.37
  5. Step 5: Solve for x
    x = 81,075.37/312.11
  6. Step 6: Final answer
    x = 259.77

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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.