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Finding the Fourth Proportional to 50.98, 76.07 and 45.86

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Solution

The fourth proportional to 50.98, 76.07 and 45.86 is: 68.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.98 : 76.07 = 45.86 : x
  2. Step 2: Convert to fraction form
    50.98/76.07 = 45.86/x
  3. Step 3: Cross multiply
    50.98x = 76.07 × 45.86
  4. Step 4: Simplify right side
    50.98x = 3,487.96
  5. Step 5: Solve for x
    x = 3,487.96/50.98
  6. Step 6: Final answer
    x = 68.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.