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Finding the Fourth Proportional to 45.77, 63.16 and 29.43

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Solution

The fourth proportional to 45.77, 63.16 and 29.43 is: 40.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.77 : 63.16 = 29.43 : x
  2. Step 2: Convert to fraction form
    45.77/63.16 = 29.43/x
  3. Step 3: Cross multiply
    45.77x = 63.16 × 29.43
  4. Step 4: Simplify right side
    45.77x = 1,858.73
  5. Step 5: Solve for x
    x = 1,858.73/45.77
  6. Step 6: Final answer
    x = 40.61

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Why These Related Problems?

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