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Finding the Fourth Proportional to 160.85, 241.28 and 143.03

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Solution

The fourth proportional to 160.85, 241.28 and 143.03 is: 214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.85 : 241.28 = 143.03 : x
  2. Step 2: Convert to fraction form
    160.85/241.28 = 143.03/x
  3. Step 3: Cross multiply
    160.85x = 241.28 × 143.03
  4. Step 4: Simplify right side
    160.85x = 34,510.28
  5. Step 5: Solve for x
    x = 34,510.28/160.85
  6. Step 6: Final answer
    x = 214.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.