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Finding the Fourth Proportional to 46.45, 63.70 and 46.27

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Solution

The fourth proportional to 46.45, 63.70 and 46.27 is: 63.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.45 : 63.70 = 46.27 : x
  2. Step 2: Convert to fraction form
    46.45/63.70 = 46.27/x
  3. Step 3: Cross multiply
    46.45x = 63.70 × 46.27
  4. Step 4: Simplify right side
    46.45x = 2,947.40
  5. Step 5: Solve for x
    x = 2,947.40/46.45
  6. Step 6: Final answer
    x = 63.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.