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Finding the Fourth Proportional to 53.25, 73.10 and 49.15

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Solution

The fourth proportional to 53.25, 73.10 and 49.15 is: 67.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.25 : 73.10 = 49.15 : x
  2. Step 2: Convert to fraction form
    53.25/73.10 = 49.15/x
  3. Step 3: Cross multiply
    53.25x = 73.10 × 49.15
  4. Step 4: Simplify right side
    53.25x = 3,592.87
  5. Step 5: Solve for x
    x = 3,592.87/53.25
  6. Step 6: Final answer
    x = 67.47

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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.