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Finding the Fourth Proportional to 239.09, 358.52 and 85.00

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Solution

The fourth proportional to 239.09, 358.52 and 85.00 is: 127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.09 : 358.52 = 85.00 : x
  2. Step 2: Convert to fraction form
    239.09/358.52 = 85.00/x
  3. Step 3: Cross multiply
    239.09x = 358.52 × 85.00
  4. Step 4: Simplify right side
    239.09x = 30,472.41
  5. Step 5: Solve for x
    x = 30,472.41/239.09
  6. Step 6: Final answer
    x = 127.45

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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.