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Finding the Fourth Proportional to 312.19, 467.19 and 234.95

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Solution

The fourth proportional to 312.19, 467.19 and 234.95 is: 351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 467.19 = 234.95 : x
  2. Step 2: Convert to fraction form
    312.19/467.19 = 234.95/x
  3. Step 3: Cross multiply
    312.19x = 467.19 × 234.95
  4. Step 4: Simplify right side
    312.19x = 109,763.95
  5. Step 5: Solve for x
    x = 109,763.95/312.19
  6. Step 6: Final answer
    x = 351.60

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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.