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Finding the Fourth Proportional to 51.91, 71.62 and 30.09

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Solution

The fourth proportional to 51.91, 71.62 and 30.09 is: 41.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.91 : 71.62 = 30.09 : x
  2. Step 2: Convert to fraction form
    51.91/71.62 = 30.09/x
  3. Step 3: Cross multiply
    51.91x = 71.62 × 30.09
  4. Step 4: Simplify right side
    51.91x = 2,155.05
  5. Step 5: Solve for x
    x = 2,155.05/51.91
  6. Step 6: Final answer
    x = 41.52

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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.