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Finding the Fourth Proportional to 131.75, 181.41 and 117.89

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Solution

The fourth proportional to 131.75, 181.41 and 117.89 is: 162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.75 : 181.41 = 117.89 : x
  2. Step 2: Convert to fraction form
    131.75/181.41 = 117.89/x
  3. Step 3: Cross multiply
    131.75x = 181.41 × 117.89
  4. Step 4: Simplify right side
    131.75x = 21,386.42
  5. Step 5: Solve for x
    x = 21,386.42/131.75
  6. Step 6: Final answer
    x = 162.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.