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Finding the Fourth Proportional to 160.12, 221.05 and 123.35

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Solution

The fourth proportional to 160.12, 221.05 and 123.35 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.12 : 221.05 = 123.35 : x
  2. Step 2: Convert to fraction form
    160.12/221.05 = 123.35/x
  3. Step 3: Cross multiply
    160.12x = 221.05 × 123.35
  4. Step 4: Simplify right side
    160.12x = 27,265.57
  5. Step 5: Solve for x
    x = 27,265.57/160.12
  6. Step 6: Final answer
    x = 170.28

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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.