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Finding the Fourth Proportional to 220.56, 328.58 and 208.14

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Solution

The fourth proportional to 220.56, 328.58 and 208.14 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.56 : 328.58 = 208.14 : x
  2. Step 2: Convert to fraction form
    220.56/328.58 = 208.14/x
  3. Step 3: Cross multiply
    220.56x = 328.58 × 208.14
  4. Step 4: Simplify right side
    220.56x = 68,389.60
  5. Step 5: Solve for x
    x = 68,389.60/220.56
  6. Step 6: Final answer
    x = 310.07

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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.