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Finding the Fourth Proportional to 50.94, 76.81 and 48.02

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Solution

The fourth proportional to 50.94, 76.81 and 48.02 is: 72.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 76.81 = 48.02 : x
  2. Step 2: Convert to fraction form
    50.94/76.81 = 48.02/x
  3. Step 3: Cross multiply
    50.94x = 76.81 × 48.02
  4. Step 4: Simplify right side
    50.94x = 3,688.42
  5. Step 5: Solve for x
    x = 3,688.42/50.94
  6. Step 6: Final answer
    x = 72.41

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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.