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Finding the Fourth Proportional to 53.56, 73.86 and 48.16

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Solution

The fourth proportional to 53.56, 73.86 and 48.16 is: 66.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.56 : 73.86 = 48.16 : x
  2. Step 2: Convert to fraction form
    53.56/73.86 = 48.16/x
  3. Step 3: Cross multiply
    53.56x = 73.86 × 48.16
  4. Step 4: Simplify right side
    53.56x = 3,556.73
  5. Step 5: Solve for x
    x = 3,556.73/53.56
  6. Step 6: Final answer
    x = 66.41

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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.