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Finding the Fourth Proportional to 326.50, 450.60 and 210.04

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Solution

The fourth proportional to 326.50, 450.60 and 210.04 is: 289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 450.60 = 210.04 : x
  2. Step 2: Convert to fraction form
    326.50/450.60 = 210.04/x
  3. Step 3: Cross multiply
    326.50x = 450.60 × 210.04
  4. Step 4: Simplify right side
    326.50x = 94,644.02
  5. Step 5: Solve for x
    x = 94,644.02/326.50
  6. Step 6: Final answer
    x = 289.87

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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.