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Finding the Fourth Proportional to 156.19, 234.38 and 69.51

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Solution

The fourth proportional to 156.19, 234.38 and 69.51 is: 104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.19 : 234.38 = 69.51 : x
  2. Step 2: Convert to fraction form
    156.19/234.38 = 69.51/x
  3. Step 3: Cross multiply
    156.19x = 234.38 × 69.51
  4. Step 4: Simplify right side
    156.19x = 16,291.75
  5. Step 5: Solve for x
    x = 16,291.75/156.19
  6. Step 6: Final answer
    x = 104.31

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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.