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Finding the Fourth Proportional to 50.76, 70 and 34.37

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Solution

The fourth proportional to 50.76, 70 and 34.37 is: 47.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.76 : 70 = 34.37 : x
  2. Step 2: Convert to fraction form
    50.76/70 = 34.37/x
  3. Step 3: Cross multiply
    50.76x = 70 × 34.37
  4. Step 4: Simplify right side
    50.76x = 2,405.90
  5. Step 5: Solve for x
    x = 2,405.90/50.76
  6. Step 6: Final answer
    x = 47.40

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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.