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Finding the Fourth Proportional to 321.57, 484.99 and 286.34

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Solution

The fourth proportional to 321.57, 484.99 and 286.34 is: 431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.57 : 484.99 = 286.34 : x
  2. Step 2: Convert to fraction form
    321.57/484.99 = 286.34/x
  3. Step 3: Cross multiply
    321.57x = 484.99 × 286.34
  4. Step 4: Simplify right side
    321.57x = 138,868.90
  5. Step 5: Solve for x
    x = 138,868.90/321.57
  6. Step 6: Final answer
    x = 431.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.