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Finding the Fourth Proportional to 92.56, 127.72 and 55.21

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Solution

The fourth proportional to 92.56, 127.72 and 55.21 is: 76.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.56 : 127.72 = 55.21 : x
  2. Step 2: Convert to fraction form
    92.56/127.72 = 55.21/x
  3. Step 3: Cross multiply
    92.56x = 127.72 × 55.21
  4. Step 4: Simplify right side
    92.56x = 7,051.42
  5. Step 5: Solve for x
    x = 7,051.42/92.56
  6. Step 6: Final answer
    x = 76.18

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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.