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Finding the Fourth Proportional to 85.27, 127.63 and 56.31

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Solution

The fourth proportional to 85.27, 127.63 and 56.31 is: 84.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.27 : 127.63 = 56.31 : x
  2. Step 2: Convert to fraction form
    85.27/127.63 = 56.31/x
  3. Step 3: Cross multiply
    85.27x = 127.63 × 56.31
  4. Step 4: Simplify right side
    85.27x = 7,186.56
  5. Step 5: Solve for x
    x = 7,186.56/85.27
  6. Step 6: Final answer
    x = 84.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.