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Finding the Fourth Proportional to 42.75, 63.93 and 29.19

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Solution

The fourth proportional to 42.75, 63.93 and 29.19 is: 43.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 63.93 = 29.19 : x
  2. Step 2: Convert to fraction form
    42.75/63.93 = 29.19/x
  3. Step 3: Cross multiply
    42.75x = 63.93 × 29.19
  4. Step 4: Simplify right side
    42.75x = 1,866.12
  5. Step 5: Solve for x
    x = 1,866.12/42.75
  6. Step 6: Final answer
    x = 43.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.