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Finding the Fourth Proportional to 85.44, 127.98 and 55.02

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Solution

The fourth proportional to 85.44, 127.98 and 55.02 is: 82.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.44 : 127.98 = 55.02 : x
  2. Step 2: Convert to fraction form
    85.44/127.98 = 55.02/x
  3. Step 3: Cross multiply
    85.44x = 127.98 × 55.02
  4. Step 4: Simplify right side
    85.44x = 7,041.46
  5. Step 5: Solve for x
    x = 7,041.46/85.44
  6. Step 6: Final answer
    x = 82.41

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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.