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Finding the Fourth Proportional to 46.97, 70.50 and 31.78

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Solution

The fourth proportional to 46.97, 70.50 and 31.78 is: 47.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.97 : 70.50 = 31.78 : x
  2. Step 2: Convert to fraction form
    46.97/70.50 = 31.78/x
  3. Step 3: Cross multiply
    46.97x = 70.50 × 31.78
  4. Step 4: Simplify right side
    46.97x = 2,239.98
  5. Step 5: Solve for x
    x = 2,239.98/46.97
  6. Step 6: Final answer
    x = 47.69

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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.