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Finding the Fourth Proportional to 239.05, 358.59 and 76.71

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Solution

The fourth proportional to 239.05, 358.59 and 76.71 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.05 : 358.59 = 76.71 : x
  2. Step 2: Convert to fraction form
    239.05/358.59 = 76.71/x
  3. Step 3: Cross multiply
    239.05x = 358.59 × 76.71
  4. Step 4: Simplify right side
    239.05x = 27,509.07
  5. Step 5: Solve for x
    x = 27,509.07/239.05
  6. Step 6: Final answer
    x = 115.08

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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.