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Finding the Fourth Proportional to 92.24, 127.28 and 50.79

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Solution

The fourth proportional to 92.24, 127.28 and 50.79 is: 70.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 127.28 = 50.79 : x
  2. Step 2: Convert to fraction form
    92.24/127.28 = 50.79/x
  3. Step 3: Cross multiply
    92.24x = 127.28 × 50.79
  4. Step 4: Simplify right side
    92.24x = 6,464.48
  5. Step 5: Solve for x
    x = 6,464.48/92.24
  6. Step 6: Final answer
    x = 70.08

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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.