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Finding the Fourth Proportional to 160.60, 220.18 and 157.68

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Solution

The fourth proportional to 160.60, 220.18 and 157.68 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.60 : 220.18 = 157.68 : x
  2. Step 2: Convert to fraction form
    160.60/220.18 = 157.68/x
  3. Step 3: Cross multiply
    160.60x = 220.18 × 157.68
  4. Step 4: Simplify right side
    160.60x = 34,716.09
  5. Step 5: Solve for x
    x = 34,716.09/160.60
  6. Step 6: Final answer
    x = 216.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.