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Finding the Fourth Proportional to 54.47, 75.53 and 52.65

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Solution

The fourth proportional to 54.47, 75.53 and 52.65 is: 73.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.47 : 75.53 = 52.65 : x
  2. Step 2: Convert to fraction form
    54.47/75.53 = 52.65/x
  3. Step 3: Cross multiply
    54.47x = 75.53 × 52.65
  4. Step 4: Simplify right side
    54.47x = 3,976.79
  5. Step 5: Solve for x
    x = 3,976.79/54.47
  6. Step 6: Final answer
    x = 73.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.