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Finding the Fourth Proportional to 328.93, 493.19 and 191.90

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Solution

The fourth proportional to 328.93, 493.19 and 191.90 is: 287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.93 : 493.19 = 191.90 : x
  2. Step 2: Convert to fraction form
    328.93/493.19 = 191.90/x
  3. Step 3: Cross multiply
    328.93x = 493.19 × 191.90
  4. Step 4: Simplify right side
    328.93x = 94,644.15
  5. Step 5: Solve for x
    x = 94,644.15/328.93
  6. Step 6: Final answer
    x = 287.74

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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.