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Finding the Fourth Proportional to 55, 76.42 and 54.47

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Solution

The fourth proportional to 55, 76.42 and 54.47 is: 75.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55 : 76.42 = 54.47 : x
  2. Step 2: Convert to fraction form
    55/76.42 = 54.47/x
  3. Step 3: Cross multiply
    55x = 76.42 × 54.47
  4. Step 4: Simplify right side
    55x = 4,162.60
  5. Step 5: Solve for x
    x = 4,162.60/55
  6. Step 6: Final answer
    x = 75.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.