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Finding the Fourth Proportional to 70.27, 96.82 and 51.83

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Solution

The fourth proportional to 70.27, 96.82 and 51.83 is: 71.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.27 : 96.82 = 51.83 : x
  2. Step 2: Convert to fraction form
    70.27/96.82 = 51.83/x
  3. Step 3: Cross multiply
    70.27x = 96.82 × 51.83
  4. Step 4: Simplify right side
    70.27x = 5,018.18
  5. Step 5: Solve for x
    x = 5,018.18/70.27
  6. Step 6: Final answer
    x = 71.41

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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.