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Finding the Fourth Proportional to 156.35, 233.25 and 129.22

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Solution

The fourth proportional to 156.35, 233.25 and 129.22 is: 192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.35 : 233.25 = 129.22 : x
  2. Step 2: Convert to fraction form
    156.35/233.25 = 129.22/x
  3. Step 3: Cross multiply
    156.35x = 233.25 × 129.22
  4. Step 4: Simplify right side
    156.35x = 30,140.57
  5. Step 5: Solve for x
    x = 30,140.57/156.35
  6. Step 6: Final answer
    x = 192.78

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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.