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Finding the Fourth Proportional to 156.65, 235.26 and 105.39

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Solution

The fourth proportional to 156.65, 235.26 and 105.39 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.65 : 235.26 = 105.39 : x
  2. Step 2: Convert to fraction form
    156.65/235.26 = 105.39/x
  3. Step 3: Cross multiply
    156.65x = 235.26 × 105.39
  4. Step 4: Simplify right side
    156.65x = 24,794.05
  5. Step 5: Solve for x
    x = 24,794.05/156.65
  6. Step 6: Final answer
    x = 158.28

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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.