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Finding the Fourth Proportional to 46.94, 70.78 and 44.02

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Solution

The fourth proportional to 46.94, 70.78 and 44.02 is: 66.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.94 : 70.78 = 44.02 : x
  2. Step 2: Convert to fraction form
    46.94/70.78 = 44.02/x
  3. Step 3: Cross multiply
    46.94x = 70.78 × 44.02
  4. Step 4: Simplify right side
    46.94x = 3,115.16
  5. Step 5: Solve for x
    x = 3,115.16/46.94
  6. Step 6: Final answer
    x = 66.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.