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Finding the Fourth Proportional to 86.68, 129.82 and 46

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Solution

The fourth proportional to 86.68, 129.82 and 46 is: 68.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.68 : 129.82 = 46 : x
  2. Step 2: Convert to fraction form
    86.68/129.82 = 46/x
  3. Step 3: Cross multiply
    86.68x = 129.82 × 46
  4. Step 4: Simplify right side
    86.68x = 5,971.72
  5. Step 5: Solve for x
    x = 5,971.72/86.68
  6. Step 6: Final answer
    x = 68.89

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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.