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Finding the Fourth Proportional to 320.53, 442.49 and 245.23

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Solution

The fourth proportional to 320.53, 442.49 and 245.23 is: 338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.53 : 442.49 = 245.23 : x
  2. Step 2: Convert to fraction form
    320.53/442.49 = 245.23/x
  3. Step 3: Cross multiply
    320.53x = 442.49 × 245.23
  4. Step 4: Simplify right side
    320.53x = 108,511.82
  5. Step 5: Solve for x
    x = 108,511.82/320.53
  6. Step 6: Final answer
    x = 338.54

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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.