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Finding the Fourth Proportional to 54.58, 75.12 and 53.38

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Solution

The fourth proportional to 54.58, 75.12 and 53.38 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.58 : 75.12 = 53.38 : x
  2. Step 2: Convert to fraction form
    54.58/75.12 = 53.38/x
  3. Step 3: Cross multiply
    54.58x = 75.12 × 53.38
  4. Step 4: Simplify right side
    54.58x = 4,009.91
  5. Step 5: Solve for x
    x = 4,009.91/54.58
  6. Step 6: Final answer
    x = 73.47

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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.