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Finding the Fourth Proportional to 326.78, 488.23 and 311.66

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Solution

The fourth proportional to 326.78, 488.23 and 311.66 is: 465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.78 : 488.23 = 311.66 : x
  2. Step 2: Convert to fraction form
    326.78/488.23 = 311.66/x
  3. Step 3: Cross multiply
    326.78x = 488.23 × 311.66
  4. Step 4: Simplify right side
    326.78x = 152,161.76
  5. Step 5: Solve for x
    x = 152,161.76/326.78
  6. Step 6: Final answer
    x = 465.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.