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Finding the Fourth Proportional to 215.90, 323.85 and 134.63

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Solution

The fourth proportional to 215.90, 323.85 and 134.63 is: 201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.90 : 323.85 = 134.63 : x
  2. Step 2: Convert to fraction form
    215.90/323.85 = 134.63/x
  3. Step 3: Cross multiply
    215.90x = 323.85 × 134.63
  4. Step 4: Simplify right side
    215.90x = 43,599.93
  5. Step 5: Solve for x
    x = 43,599.93/215.90
  6. Step 6: Final answer
    x = 201.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.