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Finding the Fourth Proportional to 169.20, 232.98 and 139.58

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Solution

The fourth proportional to 169.20, 232.98 and 139.58 is: 192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 232.98 = 139.58 : x
  2. Step 2: Convert to fraction form
    169.20/232.98 = 139.58/x
  3. Step 3: Cross multiply
    169.20x = 232.98 × 139.58
  4. Step 4: Simplify right side
    169.20x = 32,519.35
  5. Step 5: Solve for x
    x = 32,519.35/169.20
  6. Step 6: Final answer
    x = 192.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.