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Finding the Fourth Proportional to 156.45, 234.56 and 95.57

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Solution

The fourth proportional to 156.45, 234.56 and 95.57 is: 143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.45 : 234.56 = 95.57 : x
  2. Step 2: Convert to fraction form
    156.45/234.56 = 95.57/x
  3. Step 3: Cross multiply
    156.45x = 234.56 × 95.57
  4. Step 4: Simplify right side
    156.45x = 22,416.90
  5. Step 5: Solve for x
    x = 22,416.90/156.45
  6. Step 6: Final answer
    x = 143.28

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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.