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Finding the Fourth Proportional to 156.89, 235.12 and 132.66

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Solution

The fourth proportional to 156.89, 235.12 and 132.66 is: 198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.89 : 235.12 = 132.66 : x
  2. Step 2: Convert to fraction form
    156.89/235.12 = 132.66/x
  3. Step 3: Cross multiply
    156.89x = 235.12 × 132.66
  4. Step 4: Simplify right side
    156.89x = 31,191.02
  5. Step 5: Solve for x
    x = 31,191.02/156.89
  6. Step 6: Final answer
    x = 198.81

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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.