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Finding the Fourth Proportional to 156.35, 215.75 and 86.41

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Solution

The fourth proportional to 156.35, 215.75 and 86.41 is: 119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.35 : 215.75 = 86.41 : x
  2. Step 2: Convert to fraction form
    156.35/215.75 = 86.41/x
  3. Step 3: Cross multiply
    156.35x = 215.75 × 86.41
  4. Step 4: Simplify right side
    156.35x = 18,641.88
  5. Step 5: Solve for x
    x = 18,641.88/156.35
  6. Step 6: Final answer
    x = 119.23

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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.