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Finding the Fourth Proportional to 156.36, 215.79 and 86.41

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Solution

The fourth proportional to 156.36, 215.79 and 86.41 is: 119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 215.79 = 86.41 : x
  2. Step 2: Convert to fraction form
    156.36/215.79 = 86.41/x
  3. Step 3: Cross multiply
    156.36x = 215.79 × 86.41
  4. Step 4: Simplify right side
    156.36x = 18,646.97
  5. Step 5: Solve for x
    x = 18,646.97/156.36
  6. Step 6: Final answer
    x = 119.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.