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Finding the Fourth Proportional to 85.00, 127.48 and 24.11

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Solution

The fourth proportional to 85.00, 127.48 and 24.11 is: 36.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.00 : 127.48 = 24.11 : x
  2. Step 2: Convert to fraction form
    85.00/127.48 = 24.11/x
  3. Step 3: Cross multiply
    85.00x = 127.48 × 24.11
  4. Step 4: Simplify right side
    85.00x = 3,074.08
  5. Step 5: Solve for x
    x = 3,074.08/85.00
  6. Step 6: Final answer
    x = 36.17

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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.