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Finding the Fourth Proportional to 215.85, 297.75 and 142.14

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Solution

The fourth proportional to 215.85, 297.75 and 142.14 is: 196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.85 : 297.75 = 142.14 : x
  2. Step 2: Convert to fraction form
    215.85/297.75 = 142.14/x
  3. Step 3: Cross multiply
    215.85x = 297.75 × 142.14
  4. Step 4: Simplify right side
    215.85x = 42,322.19
  5. Step 5: Solve for x
    x = 42,322.19/215.85
  6. Step 6: Final answer
    x = 196.07

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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.