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Finding the Fourth Proportional to 156.36, 234.81 and 122.16

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Solution

The fourth proportional to 156.36, 234.81 and 122.16 is: 183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 234.81 = 122.16 : x
  2. Step 2: Convert to fraction form
    156.36/234.81 = 122.16/x
  3. Step 3: Cross multiply
    156.36x = 234.81 × 122.16
  4. Step 4: Simplify right side
    156.36x = 28,684.39
  5. Step 5: Solve for x
    x = 28,684.39/156.36
  6. Step 6: Final answer
    x = 183.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.