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Finding the Fourth Proportional to 70.85, 97.71 and 46.30

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Solution

The fourth proportional to 70.85, 97.71 and 46.30 is: 63.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.85 : 97.71 = 46.30 : x
  2. Step 2: Convert to fraction form
    70.85/97.71 = 46.30/x
  3. Step 3: Cross multiply
    70.85x = 97.71 × 46.30
  4. Step 4: Simplify right side
    70.85x = 4,523.50
  5. Step 5: Solve for x
    x = 4,523.50/70.85
  6. Step 6: Final answer
    x = 63.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.