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Finding the Fourth Proportional to 156.45, 217.63 and 153.48

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Solution

The fourth proportional to 156.45, 217.63 and 153.48 is: 213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.45 : 217.63 = 153.48 : x
  2. Step 2: Convert to fraction form
    156.45/217.63 = 153.48/x
  3. Step 3: Cross multiply
    156.45x = 217.63 × 153.48
  4. Step 4: Simplify right side
    156.45x = 33,401.09
  5. Step 5: Solve for x
    x = 33,401.09/156.45
  6. Step 6: Final answer
    x = 213.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.