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Finding the Fourth Proportional to 160.53, 221.42 and 155.18

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Solution

The fourth proportional to 160.53, 221.42 and 155.18 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 221.42 = 155.18 : x
  2. Step 2: Convert to fraction form
    160.53/221.42 = 155.18/x
  3. Step 3: Cross multiply
    160.53x = 221.42 × 155.18
  4. Step 4: Simplify right side
    160.53x = 34,359.96
  5. Step 5: Solve for x
    x = 34,359.96/160.53
  6. Step 6: Final answer
    x = 214.04

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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.