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Finding the Fourth Proportional to 357.99, 493.95 and 206.55

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Solution

The fourth proportional to 357.99, 493.95 and 206.55 is: 285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.99 : 493.95 = 206.55 : x
  2. Step 2: Convert to fraction form
    357.99/493.95 = 206.55/x
  3. Step 3: Cross multiply
    357.99x = 493.95 × 206.55
  4. Step 4: Simplify right side
    357.99x = 102,025.37
  5. Step 5: Solve for x
    x = 102,025.37/357.99
  6. Step 6: Final answer
    x = 285.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.