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Finding the Fourth Proportional to 238.99, 358.56 and 76.67

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Solution

The fourth proportional to 238.99, 358.56 and 76.67 is: 115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.99 : 358.56 = 76.67 : x
  2. Step 2: Convert to fraction form
    238.99/358.56 = 76.67/x
  3. Step 3: Cross multiply
    238.99x = 358.56 × 76.67
  4. Step 4: Simplify right side
    238.99x = 27,490.80
  5. Step 5: Solve for x
    x = 27,490.80/238.99
  6. Step 6: Final answer
    x = 115.03

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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.