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Finding the Fourth Proportional to 444.65, 614.27 and 347.68

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Solution

The fourth proportional to 444.65, 614.27 and 347.68 is: 480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.65 : 614.27 = 347.68 : x
  2. Step 2: Convert to fraction form
    444.65/614.27 = 347.68/x
  3. Step 3: Cross multiply
    444.65x = 614.27 × 347.68
  4. Step 4: Simplify right side
    444.65x = 213,564.58
  5. Step 5: Solve for x
    x = 213,564.58/444.65
  6. Step 6: Final answer
    x = 480.30

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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.