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Finding the Fourth Proportional to 312.26, 467.80 and 167.63

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Solution

The fourth proportional to 312.26, 467.80 and 167.63 is: 251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.26 : 467.80 = 167.63 : x
  2. Step 2: Convert to fraction form
    312.26/467.80 = 167.63/x
  3. Step 3: Cross multiply
    312.26x = 467.80 × 167.63
  4. Step 4: Simplify right side
    312.26x = 78,417.31
  5. Step 5: Solve for x
    x = 78,417.31/312.26
  6. Step 6: Final answer
    x = 251.13

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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.