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Finding the Fourth Proportional to 215.94, 297.64 and 142.12

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Solution

The fourth proportional to 215.94, 297.64 and 142.12 is: 195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.94 : 297.64 = 142.12 : x
  2. Step 2: Convert to fraction form
    215.94/297.64 = 142.12/x
  3. Step 3: Cross multiply
    215.94x = 297.64 × 142.12
  4. Step 4: Simplify right side
    215.94x = 42,300.60
  5. Step 5: Solve for x
    x = 42,300.60/215.94
  6. Step 6: Final answer
    x = 195.89

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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.