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Finding the Fourth Proportional to 470.36, 705.65 and 239.38

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Solution

The fourth proportional to 470.36, 705.65 and 239.38 is: 359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 705.65 = 239.38 : x
  2. Step 2: Convert to fraction form
    470.36/705.65 = 239.38/x
  3. Step 3: Cross multiply
    470.36x = 705.65 × 239.38
  4. Step 4: Simplify right side
    470.36x = 168,915.54
  5. Step 5: Solve for x
    x = 168,915.54/470.36
  6. Step 6: Final answer
    x = 359.12

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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.