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Finding the Fourth Proportional to 160.31, 221.20 and 123.01

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Solution

The fourth proportional to 160.31, 221.20 and 123.01 is: 169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.31 : 221.20 = 123.01 : x
  2. Step 2: Convert to fraction form
    160.31/221.20 = 123.01/x
  3. Step 3: Cross multiply
    160.31x = 221.20 × 123.01
  4. Step 4: Simplify right side
    160.31x = 27,208.95
  5. Step 5: Solve for x
    x = 27,208.95/160.31
  6. Step 6: Final answer
    x = 169.72

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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.