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Finding the Fourth Proportional to 47.34, 65.78 and 46.85

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Solution

The fourth proportional to 47.34, 65.78 and 46.85 is: 65.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 65.78 = 46.85 : x
  2. Step 2: Convert to fraction form
    47.34/65.78 = 46.85/x
  3. Step 3: Cross multiply
    47.34x = 65.78 × 46.85
  4. Step 4: Simplify right side
    47.34x = 3,081.58
  5. Step 5: Solve for x
    x = 3,081.58/47.34
  6. Step 6: Final answer
    x = 65.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.