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Finding the Fourth Proportional to 42.75, 58.95 and 33.57

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Solution

The fourth proportional to 42.75, 58.95 and 33.57 is: 46.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 58.95 = 33.57 : x
  2. Step 2: Convert to fraction form
    42.75/58.95 = 33.57/x
  3. Step 3: Cross multiply
    42.75x = 58.95 × 33.57
  4. Step 4: Simplify right side
    42.75x = 1,978.95
  5. Step 5: Solve for x
    x = 1,978.95/42.75
  6. Step 6: Final answer
    x = 46.29

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