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Finding the Fourth Proportional to 347.99, 480.02 and 229.97

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Solution

The fourth proportional to 347.99, 480.02 and 229.97 is: 317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.99 : 480.02 = 229.97 : x
  2. Step 2: Convert to fraction form
    347.99/480.02 = 229.97/x
  3. Step 3: Cross multiply
    347.99x = 480.02 × 229.97
  4. Step 4: Simplify right side
    347.99x = 110,386.65
  5. Step 5: Solve for x
    x = 110,386.65/347.99
  6. Step 6: Final answer
    x = 317.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.