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Finding the Fourth Proportional to 156.36, 235.47 and 129.21

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Solution

The fourth proportional to 156.36, 235.47 and 129.21 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 235.47 = 129.21 : x
  2. Step 2: Convert to fraction form
    156.36/235.47 = 129.21/x
  3. Step 3: Cross multiply
    156.36x = 235.47 × 129.21
  4. Step 4: Simplify right side
    156.36x = 30,425.08
  5. Step 5: Solve for x
    x = 30,425.08/156.36
  6. Step 6: Final answer
    x = 194.58

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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.