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Finding the Fourth Proportional to 131.13, 197.48 and 114.22

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Solution

The fourth proportional to 131.13, 197.48 and 114.22 is: 172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.13 : 197.48 = 114.22 : x
  2. Step 2: Convert to fraction form
    131.13/197.48 = 114.22/x
  3. Step 3: Cross multiply
    131.13x = 197.48 × 114.22
  4. Step 4: Simplify right side
    131.13x = 22,554.84
  5. Step 5: Solve for x
    x = 22,554.84/131.13
  6. Step 6: Final answer
    x = 172.00

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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.