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Finding the Fourth Proportional to 328.30, 493.08 and 191.62

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Solution

The fourth proportional to 328.30, 493.08 and 191.62 is: 287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.30 : 493.08 = 191.62 : x
  2. Step 2: Convert to fraction form
    328.30/493.08 = 191.62/x
  3. Step 3: Cross multiply
    328.30x = 493.08 × 191.62
  4. Step 4: Simplify right side
    328.30x = 94,483.99
  5. Step 5: Solve for x
    x = 94,483.99/328.30
  6. Step 6: Final answer
    x = 287.80

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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.