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Finding the Fourth Proportional to 156.13, 235.11 and 115.84

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Solution

The fourth proportional to 156.13, 235.11 and 115.84 is: 174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.13 : 235.11 = 115.84 : x
  2. Step 2: Convert to fraction form
    156.13/235.11 = 115.84/x
  3. Step 3: Cross multiply
    156.13x = 235.11 × 115.84
  4. Step 4: Simplify right side
    156.13x = 27,235.14
  5. Step 5: Solve for x
    x = 27,235.14/156.13
  6. Step 6: Final answer
    x = 174.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.