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Finding the Fourth Proportional to 330.99, 456.54 and 220.23

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Solution

The fourth proportional to 330.99, 456.54 and 220.23 is: 303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.99 : 456.54 = 220.23 : x
  2. Step 2: Convert to fraction form
    330.99/456.54 = 220.23/x
  3. Step 3: Cross multiply
    330.99x = 456.54 × 220.23
  4. Step 4: Simplify right side
    330.99x = 100,543.80
  5. Step 5: Solve for x
    x = 100,543.80/330.99
  6. Step 6: Final answer
    x = 303.77

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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.