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Finding the Fourth Proportional to 156.90, 234.11 and 155.90

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Solution

The fourth proportional to 156.90, 234.11 and 155.90 is: 232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.90 : 234.11 = 155.90 : x
  2. Step 2: Convert to fraction form
    156.90/234.11 = 155.90/x
  3. Step 3: Cross multiply
    156.90x = 234.11 × 155.90
  4. Step 4: Simplify right side
    156.90x = 36,495.80
  5. Step 5: Solve for x
    x = 36,495.80/156.90
  6. Step 6: Final answer
    x = 232.61

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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.