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Finding the Fourth Proportional to 374.47, 561.81 and 191.99

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Solution

The fourth proportional to 374.47, 561.81 and 191.99 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.47 : 561.81 = 191.99 : x
  2. Step 2: Convert to fraction form
    374.47/561.81 = 191.99/x
  3. Step 3: Cross multiply
    374.47x = 561.81 × 191.99
  4. Step 4: Simplify right side
    374.47x = 107,862.97
  5. Step 5: Solve for x
    x = 107,862.97/374.47
  6. Step 6: Final answer
    x = 288.04

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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.