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Finding the Fourth Proportional to 67.48, 92.75 and 53.57

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Solution

The fourth proportional to 67.48, 92.75 and 53.57 is: 73.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.48 : 92.75 = 53.57 : x
  2. Step 2: Convert to fraction form
    67.48/92.75 = 53.57/x
  3. Step 3: Cross multiply
    67.48x = 92.75 × 53.57
  4. Step 4: Simplify right side
    67.48x = 4,968.58
  5. Step 5: Solve for x
    x = 4,968.58/67.48
  6. Step 6: Final answer
    x = 73.63

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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.