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Finding the Fourth Proportional to 55.25, 82.91 and 21.02

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Solution

The fourth proportional to 55.25, 82.91 and 21.02 is: 31.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.25 : 82.91 = 21.02 : x
  2. Step 2: Convert to fraction form
    55.25/82.91 = 21.02/x
  3. Step 3: Cross multiply
    55.25x = 82.91 × 21.02
  4. Step 4: Simplify right side
    55.25x = 1,742.25
  5. Step 5: Solve for x
    x = 1,742.25/55.25
  6. Step 6: Final answer
    x = 31.54

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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.