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Finding the Fourth Proportional to 131.07, 196.23 and 117.69

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Solution

The fourth proportional to 131.07, 196.23 and 117.69 is: 176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.07 : 196.23 = 117.69 : x
  2. Step 2: Convert to fraction form
    131.07/196.23 = 117.69/x
  3. Step 3: Cross multiply
    131.07x = 196.23 × 117.69
  4. Step 4: Simplify right side
    131.07x = 23,094.31
  5. Step 5: Solve for x
    x = 23,094.31/131.07
  6. Step 6: Final answer
    x = 176.20

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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.