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Finding the Fourth Proportional to 131.07, 181.10 and 114.67

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Solution

The fourth proportional to 131.07, 181.10 and 114.67 is: 158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.07 : 181.10 = 114.67 : x
  2. Step 2: Convert to fraction form
    131.07/181.10 = 114.67/x
  3. Step 3: Cross multiply
    131.07x = 181.10 × 114.67
  4. Step 4: Simplify right side
    131.07x = 20,766.74
  5. Step 5: Solve for x
    x = 20,766.74/131.07
  6. Step 6: Final answer
    x = 158.44

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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.