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Finding the Fourth Proportional to 220.58, 328.73 and 220.24

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Solution

The fourth proportional to 220.58, 328.73 and 220.24 is: 328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.58 : 328.73 = 220.24 : x
  2. Step 2: Convert to fraction form
    220.58/328.73 = 220.24/x
  3. Step 3: Cross multiply
    220.58x = 328.73 × 220.24
  4. Step 4: Simplify right side
    220.58x = 72,399.50
  5. Step 5: Solve for x
    x = 72,399.50/220.58
  6. Step 6: Final answer
    x = 328.22

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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.