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Finding the Fourth Proportional to 53.56, 73.43 and 53.14

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Solution

The fourth proportional to 53.56, 73.43 and 53.14 is: 72.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.56 : 73.43 = 53.14 : x
  2. Step 2: Convert to fraction form
    53.56/73.43 = 53.14/x
  3. Step 3: Cross multiply
    53.56x = 73.43 × 53.14
  4. Step 4: Simplify right side
    53.56x = 3,902.07
  5. Step 5: Solve for x
    x = 3,902.07/53.56
  6. Step 6: Final answer
    x = 72.85

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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.