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Finding the Fourth Proportional to 50.47, 69.62 and 35.94

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Solution

The fourth proportional to 50.47, 69.62 and 35.94 is: 49.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.47 : 69.62 = 35.94 : x
  2. Step 2: Convert to fraction form
    50.47/69.62 = 35.94/x
  3. Step 3: Cross multiply
    50.47x = 69.62 × 35.94
  4. Step 4: Simplify right side
    50.47x = 2,502.14
  5. Step 5: Solve for x
    x = 2,502.14/50.47
  6. Step 6: Final answer
    x = 49.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.