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Finding the Fourth Proportional to 92.45, 127.55 and 59.71

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Solution

The fourth proportional to 92.45, 127.55 and 59.71 is: 82.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.45 : 127.55 = 59.71 : x
  2. Step 2: Convert to fraction form
    92.45/127.55 = 59.71/x
  3. Step 3: Cross multiply
    92.45x = 127.55 × 59.71
  4. Step 4: Simplify right side
    92.45x = 7,615.84
  5. Step 5: Solve for x
    x = 7,615.84/92.45
  6. Step 6: Final answer
    x = 82.38

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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.