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Finding the Fourth Proportional to 50.84, 70.05 and 37.70

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Solution

The fourth proportional to 50.84, 70.05 and 37.70 is: 51.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.84 : 70.05 = 37.70 : x
  2. Step 2: Convert to fraction form
    50.84/70.05 = 37.70/x
  3. Step 3: Cross multiply
    50.84x = 70.05 × 37.70
  4. Step 4: Simplify right side
    50.84x = 2,640.89
  5. Step 5: Solve for x
    x = 2,640.89/50.84
  6. Step 6: Final answer
    x = 51.95

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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.