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Finding the Fourth Proportional to 328.53, 493.53 and 191.91

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Solution

The fourth proportional to 328.53, 493.53 and 191.91 is: 288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.53 : 493.53 = 191.91 : x
  2. Step 2: Convert to fraction form
    328.53/493.53 = 191.91/x
  3. Step 3: Cross multiply
    328.53x = 493.53 × 191.91
  4. Step 4: Simplify right side
    328.53x = 94,713.34
  5. Step 5: Solve for x
    x = 94,713.34/328.53
  6. Step 6: Final answer
    x = 288.29

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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.