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Finding the Fourth Proportional to 131.16, 197.72 and 122.36

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Solution

The fourth proportional to 131.16, 197.72 and 122.36 is: 184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 197.72 = 122.36 : x
  2. Step 2: Convert to fraction form
    131.16/197.72 = 122.36/x
  3. Step 3: Cross multiply
    131.16x = 197.72 × 122.36
  4. Step 4: Simplify right side
    131.16x = 24,192.34
  5. Step 5: Solve for x
    x = 24,192.34/131.16
  6. Step 6: Final answer
    x = 184.45

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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.