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Finding the Fourth Proportional to 70.72, 97.43 and 52.27

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Solution

The fourth proportional to 70.72, 97.43 and 52.27 is: 72.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.72 : 97.43 = 52.27 : x
  2. Step 2: Convert to fraction form
    70.72/97.43 = 52.27/x
  3. Step 3: Cross multiply
    70.72x = 97.43 × 52.27
  4. Step 4: Simplify right side
    70.72x = 5,092.16
  5. Step 5: Solve for x
    x = 5,092.16/70.72
  6. Step 6: Final answer
    x = 72.01

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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.