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Finding the Fourth Proportional to 326.12, 488.90 and 228.34

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Solution

The fourth proportional to 326.12, 488.90 and 228.34 is: 342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.12 : 488.90 = 228.34 : x
  2. Step 2: Convert to fraction form
    326.12/488.90 = 228.34/x
  3. Step 3: Cross multiply
    326.12x = 488.90 × 228.34
  4. Step 4: Simplify right side
    326.12x = 111,633.86
  5. Step 5: Solve for x
    x = 111,633.86/326.12
  6. Step 6: Final answer
    x = 342.31

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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.