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Finding the Fourth Proportional to 47.20, 70.77 and 31.27

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Solution

The fourth proportional to 47.20, 70.77 and 31.27 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.20 : 70.77 = 31.27 : x
  2. Step 2: Convert to fraction form
    47.20/70.77 = 31.27/x
  3. Step 3: Cross multiply
    47.20x = 70.77 × 31.27
  4. Step 4: Simplify right side
    47.20x = 2,212.98
  5. Step 5: Solve for x
    x = 2,212.98/47.20
  6. Step 6: Final answer
    x = 46.89

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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.