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Finding the Fourth Proportional to 54.21, 74.68 and 41.86

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Solution

The fourth proportional to 54.21, 74.68 and 41.86 is: 57.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.21 : 74.68 = 41.86 : x
  2. Step 2: Convert to fraction form
    54.21/74.68 = 41.86/x
  3. Step 3: Cross multiply
    54.21x = 74.68 × 41.86
  4. Step 4: Simplify right side
    54.21x = 3,125.81
  5. Step 5: Solve for x
    x = 3,125.81/54.21
  6. Step 6: Final answer
    x = 57.66

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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.