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Finding the Fourth Proportional to 240.81, 361.32 and 86.86

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Solution

The fourth proportional to 240.81, 361.32 and 86.86 is: 130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.81 : 361.32 = 86.86 : x
  2. Step 2: Convert to fraction form
    240.81/361.32 = 86.86/x
  3. Step 3: Cross multiply
    240.81x = 361.32 × 86.86
  4. Step 4: Simplify right side
    240.81x = 31,384.26
  5. Step 5: Solve for x
    x = 31,384.26/240.81
  6. Step 6: Final answer
    x = 130.33

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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.