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Finding the Fourth Proportional to 239.00, 358.63 and 206.71

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Solution

The fourth proportional to 239.00, 358.63 and 206.71 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.00 : 358.63 = 206.71 : x
  2. Step 2: Convert to fraction form
    239.00/358.63 = 206.71/x
  3. Step 3: Cross multiply
    239.00x = 358.63 × 206.71
  4. Step 4: Simplify right side
    239.00x = 74,132.00
  5. Step 5: Solve for x
    x = 74,132.00/239.00
  6. Step 6: Final answer
    x = 310.17

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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.