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Finding the Fourth Proportional to 295.99, 443.70 and 142.00

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Solution

The fourth proportional to 295.99, 443.70 and 142.00 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.99 : 443.70 = 142.00 : x
  2. Step 2: Convert to fraction form
    295.99/443.70 = 142.00/x
  3. Step 3: Cross multiply
    295.99x = 443.70 × 142.00
  4. Step 4: Simplify right side
    295.99x = 63,004.29
  5. Step 5: Solve for x
    x = 63,004.29/295.99
  6. Step 6: Final answer
    x = 212.86

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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.