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Finding the Fourth Proportional to 50.63, 76.34 and 50.02

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Solution

The fourth proportional to 50.63, 76.34 and 50.02 is: 75.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.63 : 76.34 = 50.02 : x
  2. Step 2: Convert to fraction form
    50.63/76.34 = 50.02/x
  3. Step 3: Cross multiply
    50.63x = 76.34 × 50.02
  4. Step 4: Simplify right side
    50.63x = 3,818.46
  5. Step 5: Solve for x
    x = 3,818.46/50.63
  6. Step 6: Final answer
    x = 75.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.