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Finding the Fourth Proportional to 82.62, 113.98 and 53.46

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Solution

The fourth proportional to 82.62, 113.98 and 53.46 is: 73.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.62 : 113.98 = 53.46 : x
  2. Step 2: Convert to fraction form
    82.62/113.98 = 53.46/x
  3. Step 3: Cross multiply
    82.62x = 113.98 × 53.46
  4. Step 4: Simplify right side
    82.62x = 6,093.37
  5. Step 5: Solve for x
    x = 6,093.37/82.62
  6. Step 6: Final answer
    x = 73.75

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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.