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Finding the Fourth Proportional to 328.87, 493.16 and 191.96

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Solution

The fourth proportional to 328.87, 493.16 and 191.96 is: 287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.87 : 493.16 = 191.96 : x
  2. Step 2: Convert to fraction form
    328.87/493.16 = 191.96/x
  3. Step 3: Cross multiply
    328.87x = 493.16 × 191.96
  4. Step 4: Simplify right side
    328.87x = 94,666.99
  5. Step 5: Solve for x
    x = 94,666.99/328.87
  6. Step 6: Final answer
    x = 287.86

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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.