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Finding the Fourth Proportional to 39.23, 53.66 and 38.60

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Solution

The fourth proportional to 39.23, 53.66 and 38.60 is: 52.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.23 : 53.66 = 38.60 : x
  2. Step 2: Convert to fraction form
    39.23/53.66 = 38.60/x
  3. Step 3: Cross multiply
    39.23x = 53.66 × 38.60
  4. Step 4: Simplify right side
    39.23x = 2,070.95
  5. Step 5: Solve for x
    x = 2,070.95/39.23
  6. Step 6: Final answer
    x = 52.79

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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.