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Finding the Fourth Proportional to 54.21, 74.75 and 42.53

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Solution

The fourth proportional to 54.21, 74.75 and 42.53 is: 58.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.21 : 74.75 = 42.53 : x
  2. Step 2: Convert to fraction form
    54.21/74.75 = 42.53/x
  3. Step 3: Cross multiply
    54.21x = 74.75 × 42.53
  4. Step 4: Simplify right side
    54.21x = 3,179.12
  5. Step 5: Solve for x
    x = 3,179.12/54.21
  6. Step 6: Final answer
    x = 58.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.