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Finding the Fourth Proportional to 330.23, 455.37 and 322.70

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Solution

The fourth proportional to 330.23, 455.37 and 322.70 is: 444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.23 : 455.37 = 322.70 : x
  2. Step 2: Convert to fraction form
    330.23/455.37 = 322.70/x
  3. Step 3: Cross multiply
    330.23x = 455.37 × 322.70
  4. Step 4: Simplify right side
    330.23x = 146,945.62
  5. Step 5: Solve for x
    x = 146,945.62/330.23
  6. Step 6: Final answer
    x = 444.99

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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.