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Finding the Fourth Proportional to 250.94, 375.93 and 142.80

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Solution

The fourth proportional to 250.94, 375.93 and 142.80 is: 213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.94 : 375.93 = 142.80 : x
  2. Step 2: Convert to fraction form
    250.94/375.93 = 142.80/x
  3. Step 3: Cross multiply
    250.94x = 375.93 × 142.80
  4. Step 4: Simplify right side
    250.94x = 53,682.80
  5. Step 5: Solve for x
    x = 53,682.80/250.94
  6. Step 6: Final answer
    x = 213.93

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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.