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Finding the Fourth Proportional to 160.05, 220.86 and 123.24

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Solution

The fourth proportional to 160.05, 220.86 and 123.24 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 220.86 = 123.24 : x
  2. Step 2: Convert to fraction form
    160.05/220.86 = 123.24/x
  3. Step 3: Cross multiply
    160.05x = 220.86 × 123.24
  4. Step 4: Simplify right side
    160.05x = 27,218.79
  5. Step 5: Solve for x
    x = 27,218.79/160.05
  6. Step 6: Final answer
    x = 170.06

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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.