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Finding the Fourth Proportional to 326.42, 450.62 and 210.05

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Solution

The fourth proportional to 326.42, 450.62 and 210.05 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.42 : 450.62 = 210.05 : x
  2. Step 2: Convert to fraction form
    326.42/450.62 = 210.05/x
  3. Step 3: Cross multiply
    326.42x = 450.62 × 210.05
  4. Step 4: Simplify right side
    326.42x = 94,652.73
  5. Step 5: Solve for x
    x = 94,652.73/326.42
  6. Step 6: Final answer
    x = 289.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.