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Finding the Fourth Proportional to 325.55, 485.95 and 286.63

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Solution

The fourth proportional to 325.55, 485.95 and 286.63 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.55 : 485.95 = 286.63 : x
  2. Step 2: Convert to fraction form
    325.55/485.95 = 286.63/x
  3. Step 3: Cross multiply
    325.55x = 485.95 × 286.63
  4. Step 4: Simplify right side
    325.55x = 139,287.85
  5. Step 5: Solve for x
    x = 139,287.85/325.55
  6. Step 6: Final answer
    x = 427.85

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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.