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Finding the Fourth Proportional to 39.26, 53.86 and 34.40

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Solution

The fourth proportional to 39.26, 53.86 and 34.40 is: 47.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.26 : 53.86 = 34.40 : x
  2. Step 2: Convert to fraction form
    39.26/53.86 = 34.40/x
  3. Step 3: Cross multiply
    39.26x = 53.86 × 34.40
  4. Step 4: Simplify right side
    39.26x = 1,852.78
  5. Step 5: Solve for x
    x = 1,852.78/39.26
  6. Step 6: Final answer
    x = 47.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.