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Finding the Fourth Proportional to 156.83, 235.23 and 139.85

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Solution

The fourth proportional to 156.83, 235.23 and 139.85 is: 209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.83 : 235.23 = 139.85 : x
  2. Step 2: Convert to fraction form
    156.83/235.23 = 139.85/x
  3. Step 3: Cross multiply
    156.83x = 235.23 × 139.85
  4. Step 4: Simplify right side
    156.83x = 32,896.92
  5. Step 5: Solve for x
    x = 32,896.92/156.83
  6. Step 6: Final answer
    x = 209.76

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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.