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Finding the Fourth Proportional to 50.77, 69.96 and 46.63

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Solution

The fourth proportional to 50.77, 69.96 and 46.63 is: 64.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.77 : 69.96 = 46.63 : x
  2. Step 2: Convert to fraction form
    50.77/69.96 = 46.63/x
  3. Step 3: Cross multiply
    50.77x = 69.96 × 46.63
  4. Step 4: Simplify right side
    50.77x = 3,262.23
  5. Step 5: Solve for x
    x = 3,262.23/50.77
  6. Step 6: Final answer
    x = 64.26

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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.