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Finding the Fourth Proportional to 74.99, 112.43 and 30.48

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Solution

The fourth proportional to 74.99, 112.43 and 30.48 is: 45.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.99 : 112.43 = 30.48 : x
  2. Step 2: Convert to fraction form
    74.99/112.43 = 30.48/x
  3. Step 3: Cross multiply
    74.99x = 112.43 × 30.48
  4. Step 4: Simplify right side
    74.99x = 3,426.25
  5. Step 5: Solve for x
    x = 3,426.25/74.99
  6. Step 6: Final answer
    x = 45.69

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Why These Related Problems?

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