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Finding the Fourth Proportional to 357.63, 539.20 and 286.35

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Solution

The fourth proportional to 357.63, 539.20 and 286.35 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.63 : 539.20 = 286.35 : x
  2. Step 2: Convert to fraction form
    357.63/539.20 = 286.35/x
  3. Step 3: Cross multiply
    357.63x = 539.20 × 286.35
  4. Step 4: Simplify right side
    357.63x = 154,399.92
  5. Step 5: Solve for x
    x = 154,399.92/357.63
  6. Step 6: Final answer
    x = 431.73

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Why These Related Problems?

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