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Finding the Fourth Proportional to 156.68, 216.09 and 97.70

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Solution

The fourth proportional to 156.68, 216.09 and 97.70 is: 134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.68 : 216.09 = 97.70 : x
  2. Step 2: Convert to fraction form
    156.68/216.09 = 97.70/x
  3. Step 3: Cross multiply
    156.68x = 216.09 × 97.70
  4. Step 4: Simplify right side
    156.68x = 21,112.90
  5. Step 5: Solve for x
    x = 21,112.90/156.68
  6. Step 6: Final answer
    x = 134.75

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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.