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Finding the Fourth Proportional to 319, 479.20 and 270.36

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Solution

The fourth proportional to 319, 479.20 and 270.36 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 479.20 = 270.36 : x
  2. Step 2: Convert to fraction form
    319/479.20 = 270.36/x
  3. Step 3: Cross multiply
    319x = 479.20 × 270.36
  4. Step 4: Simplify right side
    319x = 129,556.51
  5. Step 5: Solve for x
    x = 129,556.51/319
  6. Step 6: Final answer
    x = 406.13

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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.