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Finding the Fourth Proportional to 470.78, 706.23 and 239.59

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Solution

The fourth proportional to 470.78, 706.23 and 239.59 is: 359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.78 : 706.23 = 239.59 : x
  2. Step 2: Convert to fraction form
    470.78/706.23 = 239.59/x
  3. Step 3: Cross multiply
    470.78x = 706.23 × 239.59
  4. Step 4: Simplify right side
    470.78x = 169,205.65
  5. Step 5: Solve for x
    x = 169,205.65/470.78
  6. Step 6: Final answer
    x = 359.42

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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.