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Finding the Fourth Proportional to 134.19, 184.82 and 101.39

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Solution

The fourth proportional to 134.19, 184.82 and 101.39 is: 139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.19 : 184.82 = 101.39 : x
  2. Step 2: Convert to fraction form
    134.19/184.82 = 101.39/x
  3. Step 3: Cross multiply
    134.19x = 184.82 × 101.39
  4. Step 4: Simplify right side
    134.19x = 18,737.47
  5. Step 5: Solve for x
    x = 18,737.47/134.19
  6. Step 6: Final answer
    x = 139.63

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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.