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Finding the Fourth Proportional to 473.57, 710.46 and 239.44

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Solution

The fourth proportional to 473.57, 710.46 and 239.44 is: 359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.57 : 710.46 = 239.44 : x
  2. Step 2: Convert to fraction form
    473.57/710.46 = 239.44/x
  3. Step 3: Cross multiply
    473.57x = 710.46 × 239.44
  4. Step 4: Simplify right side
    473.57x = 170,112.54
  5. Step 5: Solve for x
    x = 170,112.54/473.57
  6. Step 6: Final answer
    x = 359.21

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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.