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Finding the Fourth Proportional to 326.30, 488.70 and 216.54

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Solution

The fourth proportional to 326.30, 488.70 and 216.54 is: 324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.30 : 488.70 = 216.54 : x
  2. Step 2: Convert to fraction form
    326.30/488.70 = 216.54/x
  3. Step 3: Cross multiply
    326.30x = 488.70 × 216.54
  4. Step 4: Simplify right side
    326.30x = 105,823.10
  5. Step 5: Solve for x
    x = 105,823.10/326.30
  6. Step 6: Final answer
    x = 324.32

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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.