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Finding the Fourth Proportional to 46.96, 70.04 and 46.15

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Solution

The fourth proportional to 46.96, 70.04 and 46.15 is: 68.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.96 : 70.04 = 46.15 : x
  2. Step 2: Convert to fraction form
    46.96/70.04 = 46.15/x
  3. Step 3: Cross multiply
    46.96x = 70.04 × 46.15
  4. Step 4: Simplify right side
    46.96x = 3,232.35
  5. Step 5: Solve for x
    x = 3,232.35/46.96
  6. Step 6: Final answer
    x = 68.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.