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Finding the Fourth Proportional to 50.86, 70.65 and 50.38

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Solution

The fourth proportional to 50.86, 70.65 and 50.38 is: 69.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.86 : 70.65 = 50.38 : x
  2. Step 2: Convert to fraction form
    50.86/70.65 = 50.38/x
  3. Step 3: Cross multiply
    50.86x = 70.65 × 50.38
  4. Step 4: Simplify right side
    50.86x = 3,559.65
  5. Step 5: Solve for x
    x = 3,559.65/50.86
  6. Step 6: Final answer
    x = 69.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.