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Finding the Fourth Proportional to 55.18, 82.30 and 54.46

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Solution

The fourth proportional to 55.18, 82.30 and 54.46 is: 81.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.18 : 82.30 = 54.46 : x
  2. Step 2: Convert to fraction form
    55.18/82.30 = 54.46/x
  3. Step 3: Cross multiply
    55.18x = 82.30 × 54.46
  4. Step 4: Simplify right side
    55.18x = 4,482.06
  5. Step 5: Solve for x
    x = 4,482.06/55.18
  6. Step 6: Final answer
    x = 81.23

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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.