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Finding the Fourth Proportional to 102.27, 142.10 and 100.98

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Solution

The fourth proportional to 102.27, 142.10 and 100.98 is: 140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 142.10 = 100.98 : x
  2. Step 2: Convert to fraction form
    102.27/142.10 = 100.98/x
  3. Step 3: Cross multiply
    102.27x = 142.10 × 100.98
  4. Step 4: Simplify right side
    102.27x = 14,349.26
  5. Step 5: Solve for x
    x = 14,349.26/102.27
  6. Step 6: Final answer
    x = 140.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.