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Finding the Fourth Proportional to 239.08, 358.64 and 76.76

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Solution

The fourth proportional to 239.08, 358.64 and 76.76 is: 115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.08 : 358.64 = 76.76 : x
  2. Step 2: Convert to fraction form
    239.08/358.64 = 76.76/x
  3. Step 3: Cross multiply
    239.08x = 358.64 × 76.76
  4. Step 4: Simplify right side
    239.08x = 27,529.21
  5. Step 5: Solve for x
    x = 27,529.21/239.08
  6. Step 6: Final answer
    x = 115.15

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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.