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Finding the Fourth Proportional to 50.96, 76.90 and 50.40

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Solution

The fourth proportional to 50.96, 76.90 and 50.40 is: 76.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.96 : 76.90 = 50.40 : x
  2. Step 2: Convert to fraction form
    50.96/76.90 = 50.40/x
  3. Step 3: Cross multiply
    50.96x = 76.90 × 50.40
  4. Step 4: Simplify right side
    50.96x = 3,875.76
  5. Step 5: Solve for x
    x = 3,875.76/50.96
  6. Step 6: Final answer
    x = 76.05

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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.