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Finding the Fourth Proportional to 51.71, 70.99 and 50.70

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Solution

The fourth proportional to 51.71, 70.99 and 50.70 is: 69.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.71 : 70.99 = 50.70 : x
  2. Step 2: Convert to fraction form
    51.71/70.99 = 50.70/x
  3. Step 3: Cross multiply
    51.71x = 70.99 × 50.70
  4. Step 4: Simplify right side
    51.71x = 3,599.19
  5. Step 5: Solve for x
    x = 3,599.19/51.71
  6. Step 6: Final answer
    x = 69.60

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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.