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Finding the Fourth Proportional to 54.90, 75.73 and 34.17

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Solution

The fourth proportional to 54.90, 75.73 and 34.17 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.90 : 75.73 = 34.17 : x
  2. Step 2: Convert to fraction form
    54.90/75.73 = 34.17/x
  3. Step 3: Cross multiply
    54.90x = 75.73 × 34.17
  4. Step 4: Simplify right side
    54.90x = 2,587.69
  5. Step 5: Solve for x
    x = 2,587.69/54.90
  6. Step 6: Final answer
    x = 47.13

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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.