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Finding the Fourth Proportional to 156.90, 217.17 and 143.94

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Solution

The fourth proportional to 156.90, 217.17 and 143.94 is: 199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.90 : 217.17 = 143.94 : x
  2. Step 2: Convert to fraction form
    156.90/217.17 = 143.94/x
  3. Step 3: Cross multiply
    156.90x = 217.17 × 143.94
  4. Step 4: Simplify right side
    156.90x = 31,259.45
  5. Step 5: Solve for x
    x = 31,259.45/156.90
  6. Step 6: Final answer
    x = 199.23

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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.