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Finding the Fourth Proportional to 325.99, 486.61 and 287.07

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Solution

The fourth proportional to 325.99, 486.61 and 287.07 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.99 : 486.61 = 287.07 : x
  2. Step 2: Convert to fraction form
    325.99/486.61 = 287.07/x
  3. Step 3: Cross multiply
    325.99x = 486.61 × 287.07
  4. Step 4: Simplify right side
    325.99x = 139,691.13
  5. Step 5: Solve for x
    x = 139,691.13/325.99
  6. Step 6: Final answer
    x = 428.51

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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.