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Finding the Fourth Proportional to 50.77, 76.16 and 14.21

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Solution

The fourth proportional to 50.77, 76.16 and 14.21 is: 21.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.77 : 76.16 = 14.21 : x
  2. Step 2: Convert to fraction form
    50.77/76.16 = 14.21/x
  3. Step 3: Cross multiply
    50.77x = 76.16 × 14.21
  4. Step 4: Simplify right side
    50.77x = 1,081.78
  5. Step 5: Solve for x
    x = 1,081.78/50.77
  6. Step 6: Final answer
    x = 21.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.