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Finding the Fourth Proportional to 215.24, 297.20 and 141.64

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Solution

The fourth proportional to 215.24, 297.20 and 141.64 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 297.20 = 141.64 : x
  2. Step 2: Convert to fraction form
    215.24/297.20 = 141.64/x
  3. Step 3: Cross multiply
    215.24x = 297.20 × 141.64
  4. Step 4: Simplify right side
    215.24x = 42,095.02
  5. Step 5: Solve for x
    x = 42,095.02/215.24
  6. Step 6: Final answer
    x = 195.58

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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.