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Finding the Fourth Proportional to 312.02, 467.90 and 129.37

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Solution

The fourth proportional to 312.02, 467.90 and 129.37 is: 194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.02 : 467.90 = 129.37 : x
  2. Step 2: Convert to fraction form
    312.02/467.90 = 129.37/x
  3. Step 3: Cross multiply
    312.02x = 467.90 × 129.37
  4. Step 4: Simplify right side
    312.02x = 60,532.22
  5. Step 5: Solve for x
    x = 60,532.22/312.02
  6. Step 6: Final answer
    x = 194.00

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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.