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Finding the Fourth Proportional to 156.16, 233.96 and 95.25

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Solution

The fourth proportional to 156.16, 233.96 and 95.25 is: 142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 233.96 = 95.25 : x
  2. Step 2: Convert to fraction form
    156.16/233.96 = 95.25/x
  3. Step 3: Cross multiply
    156.16x = 233.96 × 95.25
  4. Step 4: Simplify right side
    156.16x = 22,285.09
  5. Step 5: Solve for x
    x = 22,285.09/156.16
  6. Step 6: Final answer
    x = 142.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.