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Finding the Fourth Proportional to 51.68, 70.94 and 49.83

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Solution

The fourth proportional to 51.68, 70.94 and 49.83 is: 68.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.68 : 70.94 = 49.83 : x
  2. Step 2: Convert to fraction form
    51.68/70.94 = 49.83/x
  3. Step 3: Cross multiply
    51.68x = 70.94 × 49.83
  4. Step 4: Simplify right side
    51.68x = 3,534.69
  5. Step 5: Solve for x
    x = 3,534.69/51.68
  6. Step 6: Final answer
    x = 68.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.