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Finding the Fourth Proportional to 325.94, 486.84 and 307.22

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Solution

The fourth proportional to 325.94, 486.84 and 307.22 is: 458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.94 : 486.84 = 307.22 : x
  2. Step 2: Convert to fraction form
    325.94/486.84 = 307.22/x
  3. Step 3: Cross multiply
    325.94x = 486.84 × 307.22
  4. Step 4: Simplify right side
    325.94x = 149,566.98
  5. Step 5: Solve for x
    x = 149,566.98/325.94
  6. Step 6: Final answer
    x = 458.88

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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.