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Finding the Fourth Proportional to 357.00, 492.64 and 199.65

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Solution

The fourth proportional to 357.00, 492.64 and 199.65 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.00 : 492.64 = 199.65 : x
  2. Step 2: Convert to fraction form
    357.00/492.64 = 199.65/x
  3. Step 3: Cross multiply
    357.00x = 492.64 × 199.65
  4. Step 4: Simplify right side
    357.00x = 98,352.61
  5. Step 5: Solve for x
    x = 98,352.61/357.00
  6. Step 6: Final answer
    x = 275.50

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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.