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Finding the Fourth Proportional to 312.89, 469.02 and 232.09

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Solution

The fourth proportional to 312.89, 469.02 and 232.09 is: 347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.89 : 469.02 = 232.09 : x
  2. Step 2: Convert to fraction form
    312.89/469.02 = 232.09/x
  3. Step 3: Cross multiply
    312.89x = 469.02 × 232.09
  4. Step 4: Simplify right side
    312.89x = 108,856.02
  5. Step 5: Solve for x
    x = 108,856.02/312.89
  6. Step 6: Final answer
    x = 347.91

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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.