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Finding the Fourth Proportional to 54.42, 81.26 and 42.36

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Solution

The fourth proportional to 54.42, 81.26 and 42.36 is: 63.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 81.26 = 42.36 : x
  2. Step 2: Convert to fraction form
    54.42/81.26 = 42.36/x
  3. Step 3: Cross multiply
    54.42x = 81.26 × 42.36
  4. Step 4: Simplify right side
    54.42x = 3,442.17
  5. Step 5: Solve for x
    x = 3,442.17/54.42
  6. Step 6: Final answer
    x = 63.25

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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.