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Finding the Fourth Proportional to 160.43, 239.41 and 143.12

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Solution

The fourth proportional to 160.43, 239.41 and 143.12 is: 213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.43 : 239.41 = 143.12 : x
  2. Step 2: Convert to fraction form
    160.43/239.41 = 143.12/x
  3. Step 3: Cross multiply
    160.43x = 239.41 × 143.12
  4. Step 4: Simplify right side
    160.43x = 34,263.64
  5. Step 5: Solve for x
    x = 34,263.64/160.43
  6. Step 6: Final answer
    x = 213.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.