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Finding the Fourth Proportional to 55.34, 83.01 and 21.09

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Solution

The fourth proportional to 55.34, 83.01 and 21.09 is: 31.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.34 : 83.01 = 21.09 : x
  2. Step 2: Convert to fraction form
    55.34/83.01 = 21.09/x
  3. Step 3: Cross multiply
    55.34x = 83.01 × 21.09
  4. Step 4: Simplify right side
    55.34x = 1,751.07
  5. Step 5: Solve for x
    x = 1,751.07/55.34
  6. Step 6: Final answer
    x = 31.64

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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.