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Finding the Fourth Proportional to 147.98, 204.28 and 92.02

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Solution

The fourth proportional to 147.98, 204.28 and 92.02 is: 127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 204.28 = 92.02 : x
  2. Step 2: Convert to fraction form
    147.98/204.28 = 92.02/x
  3. Step 3: Cross multiply
    147.98x = 204.28 × 92.02
  4. Step 4: Simplify right side
    147.98x = 18,796.82
  5. Step 5: Solve for x
    x = 18,796.82/147.98
  6. Step 6: Final answer
    x = 127.02

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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.