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Finding the Fourth Proportional to 47.37, 70.94 and 46

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Solution

The fourth proportional to 47.37, 70.94 and 46 is: 68.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.37 : 70.94 = 46 : x
  2. Step 2: Convert to fraction form
    47.37/70.94 = 46/x
  3. Step 3: Cross multiply
    47.37x = 70.94 × 46
  4. Step 4: Simplify right side
    47.37x = 3,263.24
  5. Step 5: Solve for x
    x = 3,263.24/47.37
  6. Step 6: Final answer
    x = 68.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.