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Finding the Fourth Proportional to 312.01, 467.96 and 92.58

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Solution

The fourth proportional to 312.01, 467.96 and 92.58 is: 138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.01 : 467.96 = 92.58 : x
  2. Step 2: Convert to fraction form
    312.01/467.96 = 92.58/x
  3. Step 3: Cross multiply
    312.01x = 467.96 × 92.58
  4. Step 4: Simplify right side
    312.01x = 43,323.74
  5. Step 5: Solve for x
    x = 43,323.74/312.01
  6. Step 6: Final answer
    x = 138.85

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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.