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Finding the Fourth Proportional to 35.94, 54.22 and 35.58

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Solution

The fourth proportional to 35.94, 54.22 and 35.58 is: 53.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.94 : 54.22 = 35.58 : x
  2. Step 2: Convert to fraction form
    35.94/54.22 = 35.58/x
  3. Step 3: Cross multiply
    35.94x = 54.22 × 35.58
  4. Step 4: Simplify right side
    35.94x = 1,929.15
  5. Step 5: Solve for x
    x = 1,929.15/35.94
  6. Step 6: Final answer
    x = 53.68

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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.