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Finding the Fourth Proportional to 54.53, 75.09 and 51.78

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Solution

The fourth proportional to 54.53, 75.09 and 51.78 is: 71.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.53 : 75.09 = 51.78 : x
  2. Step 2: Convert to fraction form
    54.53/75.09 = 51.78/x
  3. Step 3: Cross multiply
    54.53x = 75.09 × 51.78
  4. Step 4: Simplify right side
    54.53x = 3,888.16
  5. Step 5: Solve for x
    x = 3,888.16/54.53
  6. Step 6: Final answer
    x = 71.30

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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.