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Finding the Fourth Proportional to 190.99, 285.95 and 142.93

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Solution

The fourth proportional to 190.99, 285.95 and 142.93 is: 213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.99 : 285.95 = 142.93 : x
  2. Step 2: Convert to fraction form
    190.99/285.95 = 142.93/x
  3. Step 3: Cross multiply
    190.99x = 285.95 × 142.93
  4. Step 4: Simplify right side
    190.99x = 40,870.74
  5. Step 5: Solve for x
    x = 40,870.74/190.99
  6. Step 6: Final answer
    x = 213.99

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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.