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Finding the Fourth Proportional to 55.22, 82.20 and 52.59

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Solution

The fourth proportional to 55.22, 82.20 and 52.59 is: 78.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.22 : 82.20 = 52.59 : x
  2. Step 2: Convert to fraction form
    55.22/82.20 = 52.59/x
  3. Step 3: Cross multiply
    55.22x = 82.20 × 52.59
  4. Step 4: Simplify right side
    55.22x = 4,322.90
  5. Step 5: Solve for x
    x = 4,322.90/55.22
  6. Step 6: Final answer
    x = 78.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.