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Finding the Fourth Proportional to 46.56, 63.90 and 41.08

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Solution

The fourth proportional to 46.56, 63.90 and 41.08 is: 56.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.56 : 63.90 = 41.08 : x
  2. Step 2: Convert to fraction form
    46.56/63.90 = 41.08/x
  3. Step 3: Cross multiply
    46.56x = 63.90 × 41.08
  4. Step 4: Simplify right side
    46.56x = 2,625.01
  5. Step 5: Solve for x
    x = 2,625.01/46.56
  6. Step 6: Final answer
    x = 56.38

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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.