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Finding the Fourth Proportional to 102.00, 140.76 and 55.37

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Solution

The fourth proportional to 102.00, 140.76 and 55.37 is: 76.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.00 : 140.76 = 55.37 : x
  2. Step 2: Convert to fraction form
    102.00/140.76 = 55.37/x
  3. Step 3: Cross multiply
    102.00x = 140.76 × 55.37
  4. Step 4: Simplify right side
    102.00x = 7,793.87
  5. Step 5: Solve for x
    x = 7,793.87/102.00
  6. Step 6: Final answer
    x = 76.41

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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.