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Finding the Fourth Proportional to 493.65, 740.76 and 201.09

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Solution

The fourth proportional to 493.65, 740.76 and 201.09 is: 301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.65 : 740.76 = 201.09 : x
  2. Step 2: Convert to fraction form
    493.65/740.76 = 201.09/x
  3. Step 3: Cross multiply
    493.65x = 740.76 × 201.09
  4. Step 4: Simplify right side
    493.65x = 148,959.43
  5. Step 5: Solve for x
    x = 148,959.43/493.65
  6. Step 6: Final answer
    x = 301.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.