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Finding the Fourth Proportional to 215.41, 297.17 and 145.49

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Solution

The fourth proportional to 215.41, 297.17 and 145.49 is: 200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.41 : 297.17 = 145.49 : x
  2. Step 2: Convert to fraction form
    215.41/297.17 = 145.49/x
  3. Step 3: Cross multiply
    215.41x = 297.17 × 145.49
  4. Step 4: Simplify right side
    215.41x = 43,233.41
  5. Step 5: Solve for x
    x = 43,233.41/215.41
  6. Step 6: Final answer
    x = 200.71

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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.