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Finding the Fourth Proportional to 215.81, 297.52 and 142.00

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Solution

The fourth proportional to 215.81, 297.52 and 142.00 is: 195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.81 : 297.52 = 142.00 : x
  2. Step 2: Convert to fraction form
    215.81/297.52 = 142.00/x
  3. Step 3: Cross multiply
    215.81x = 297.52 × 142.00
  4. Step 4: Simplify right side
    215.81x = 42,249.21
  5. Step 5: Solve for x
    x = 42,249.21/215.81
  6. Step 6: Final answer
    x = 195.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.