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Finding the Fourth Proportional to 156.28, 215.60 and 94.12

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Solution

The fourth proportional to 156.28, 215.60 and 94.12 is: 129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.28 : 215.60 = 94.12 : x
  2. Step 2: Convert to fraction form
    156.28/215.60 = 94.12/x
  3. Step 3: Cross multiply
    156.28x = 215.60 × 94.12
  4. Step 4: Simplify right side
    156.28x = 20,292.27
  5. Step 5: Solve for x
    x = 20,292.27/156.28
  6. Step 6: Final answer
    x = 129.85

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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.