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Finding the Fourth Proportional to 39.69, 54.75 and 23.08

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Solution

The fourth proportional to 39.69, 54.75 and 23.08 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.69 : 54.75 = 23.08 : x
  2. Step 2: Convert to fraction form
    39.69/54.75 = 23.08/x
  3. Step 3: Cross multiply
    39.69x = 54.75 × 23.08
  4. Step 4: Simplify right side
    39.69x = 1,263.63
  5. Step 5: Solve for x
    x = 1,263.63/39.69
  6. Step 6: Final answer
    x = 31.84

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Why These Related Problems?

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