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Finding the Fourth Proportional to 338.47, 504.94 and 322.99

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Solution

The fourth proportional to 338.47, 504.94 and 322.99 is: 481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 504.94 = 322.99 : x
  2. Step 2: Convert to fraction form
    338.47/504.94 = 322.99/x
  3. Step 3: Cross multiply
    338.47x = 504.94 × 322.99
  4. Step 4: Simplify right side
    338.47x = 163,090.57
  5. Step 5: Solve for x
    x = 163,090.57/338.47
  6. Step 6: Final answer
    x = 481.85

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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.