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Finding the Fourth Proportional to 328.73, 450.71 and 322.88

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Solution

The fourth proportional to 328.73, 450.71 and 322.88 is: 442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.73 : 450.71 = 322.88 : x
  2. Step 2: Convert to fraction form
    328.73/450.71 = 322.88/x
  3. Step 3: Cross multiply
    328.73x = 450.71 × 322.88
  4. Step 4: Simplify right side
    328.73x = 145,525.24
  5. Step 5: Solve for x
    x = 145,525.24/328.73
  6. Step 6: Final answer
    x = 442.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.