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Finding the Fourth Proportional to 50.98, 76.10 and 49.76

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Solution

The fourth proportional to 50.98, 76.10 and 49.76 is: 74.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.98 : 76.10 = 49.76 : x
  2. Step 2: Convert to fraction form
    50.98/76.10 = 49.76/x
  3. Step 3: Cross multiply
    50.98x = 76.10 × 49.76
  4. Step 4: Simplify right side
    50.98x = 3,786.74
  5. Step 5: Solve for x
    x = 3,786.74/50.98
  6. Step 6: Final answer
    x = 74.28

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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.