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Finding the Fourth Proportional to 156.36, 235.69 and 142.69

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Solution

The fourth proportional to 156.36, 235.69 and 142.69 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 235.69 = 142.69 : x
  2. Step 2: Convert to fraction form
    156.36/235.69 = 142.69/x
  3. Step 3: Cross multiply
    156.36x = 235.69 × 142.69
  4. Step 4: Simplify right side
    156.36x = 33,629.94
  5. Step 5: Solve for x
    x = 33,629.94/156.36
  6. Step 6: Final answer
    x = 215.09

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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.