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Finding the Fourth Proportional to 271.93, 407.86 and 142.00

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Solution

The fourth proportional to 271.93, 407.86 and 142.00 is: 212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.93 : 407.86 = 142.00 : x
  2. Step 2: Convert to fraction form
    271.93/407.86 = 142.00/x
  3. Step 3: Cross multiply
    271.93x = 407.86 × 142.00
  4. Step 4: Simplify right side
    271.93x = 57,917.44
  5. Step 5: Solve for x
    x = 57,917.44/271.93
  6. Step 6: Final answer
    x = 212.98

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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.