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Finding the Fourth Proportional to 156.76, 234.15 and 132.46

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Solution

The fourth proportional to 156.76, 234.15 and 132.46 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.76 : 234.15 = 132.46 : x
  2. Step 2: Convert to fraction form
    156.76/234.15 = 132.46/x
  3. Step 3: Cross multiply
    156.76x = 234.15 × 132.46
  4. Step 4: Simplify right side
    156.76x = 31,015.51
  5. Step 5: Solve for x
    x = 31,015.51/156.76
  6. Step 6: Final answer
    x = 197.85

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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.