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Finding the Fourth Proportional to 55.26, 76.26 and 35.84

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Solution

The fourth proportional to 55.26, 76.26 and 35.84 is: 49.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.26 : 76.26 = 35.84 : x
  2. Step 2: Convert to fraction form
    55.26/76.26 = 35.84/x
  3. Step 3: Cross multiply
    55.26x = 76.26 × 35.84
  4. Step 4: Simplify right side
    55.26x = 2,733.16
  5. Step 5: Solve for x
    x = 2,733.16/55.26
  6. Step 6: Final answer
    x = 49.46

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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.