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Finding the Fourth Proportional to 156.39, 217.54 and 153.42

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Solution

The fourth proportional to 156.39, 217.54 and 153.42 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.39 : 217.54 = 153.42 : x
  2. Step 2: Convert to fraction form
    156.39/217.54 = 153.42/x
  3. Step 3: Cross multiply
    156.39x = 217.54 × 153.42
  4. Step 4: Simplify right side
    156.39x = 33,374.99
  5. Step 5: Solve for x
    x = 33,374.99/156.39
  6. Step 6: Final answer
    x = 213.41

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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.