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Finding the Fourth Proportional to 240.99, 361.45 and 78.67

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Solution

The fourth proportional to 240.99, 361.45 and 78.67 is: 117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.99 : 361.45 = 78.67 : x
  2. Step 2: Convert to fraction form
    240.99/361.45 = 78.67/x
  3. Step 3: Cross multiply
    240.99x = 361.45 × 78.67
  4. Step 4: Simplify right side
    240.99x = 28,435.27
  5. Step 5: Solve for x
    x = 28,435.27/240.99
  6. Step 6: Final answer
    x = 117.99

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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.