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Finding the Fourth Proportional to 160.56, 220.08 and 157.71

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Solution

The fourth proportional to 160.56, 220.08 and 157.71 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 220.08 = 157.71 : x
  2. Step 2: Convert to fraction form
    160.56/220.08 = 157.71/x
  3. Step 3: Cross multiply
    160.56x = 220.08 × 157.71
  4. Step 4: Simplify right side
    160.56x = 34,708.82
  5. Step 5: Solve for x
    x = 34,708.82/160.56
  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.