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Finding the Fourth Proportional to 54.99, 75.55 and 49.24

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Solution

The fourth proportional to 54.99, 75.55 and 49.24 is: 67.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.99 : 75.55 = 49.24 : x
  2. Step 2: Convert to fraction form
    54.99/75.55 = 49.24/x
  3. Step 3: Cross multiply
    54.99x = 75.55 × 49.24
  4. Step 4: Simplify right side
    54.99x = 3,720.24
  5. Step 5: Solve for x
    x = 3,720.24/54.99
  6. Step 6: Final answer
    x = 67.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.