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Finding the Fourth Proportional to 39.08, 53.24 and 38.96

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Solution

The fourth proportional to 39.08, 53.24 and 38.96 is: 53.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.08 : 53.24 = 38.96 : x
  2. Step 2: Convert to fraction form
    39.08/53.24 = 38.96/x
  3. Step 3: Cross multiply
    39.08x = 53.24 × 38.96
  4. Step 4: Simplify right side
    39.08x = 2,074.23
  5. Step 5: Solve for x
    x = 2,074.23/39.08
  6. Step 6: Final answer
    x = 53.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.