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Finding the Fourth Proportional to 54.84, 81.89 and 46.32

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Solution

The fourth proportional to 54.84, 81.89 and 46.32 is: 69.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 81.89 = 46.32 : x
  2. Step 2: Convert to fraction form
    54.84/81.89 = 46.32/x
  3. Step 3: Cross multiply
    54.84x = 81.89 × 46.32
  4. Step 4: Simplify right side
    54.84x = 3,793.14
  5. Step 5: Solve for x
    x = 3,793.14/54.84
  6. Step 6: Final answer
    x = 69.17

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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.