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Finding the Fourth Proportional to 325.14, 450.84 and 319.20

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Solution

The fourth proportional to 325.14, 450.84 and 319.20 is: 442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.14 : 450.84 = 319.20 : x
  2. Step 2: Convert to fraction form
    325.14/450.84 = 319.20/x
  3. Step 3: Cross multiply
    325.14x = 450.84 × 319.20
  4. Step 4: Simplify right side
    325.14x = 143,908.13
  5. Step 5: Solve for x
    x = 143,908.13/325.14
  6. Step 6: Final answer
    x = 442.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.