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Finding the Fourth Proportional to 55.51, 82.60 and 54.59

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Solution

The fourth proportional to 55.51, 82.60 and 54.59 is: 81.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.51 : 82.60 = 54.59 : x
  2. Step 2: Convert to fraction form
    55.51/82.60 = 54.59/x
  3. Step 3: Cross multiply
    55.51x = 82.60 × 54.59
  4. Step 4: Simplify right side
    55.51x = 4,508.58
  5. Step 5: Solve for x
    x = 4,508.58/55.51
  6. Step 6: Final answer
    x = 81.22

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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.