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Finding the Fourth Proportional to 53.98, 81.08 and 38.86

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Solution

The fourth proportional to 53.98, 81.08 and 38.86 is: 58.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.98 : 81.08 = 38.86 : x
  2. Step 2: Convert to fraction form
    53.98/81.08 = 38.86/x
  3. Step 3: Cross multiply
    53.98x = 81.08 × 38.86
  4. Step 4: Simplify right side
    53.98x = 3,150.77
  5. Step 5: Solve for x
    x = 3,150.77/53.98
  6. Step 6: Final answer
    x = 58.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.