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Finding the Fourth Proportional to 444.81, 614.15 and 270.46

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Solution

The fourth proportional to 444.81, 614.15 and 270.46 is: 373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.81 : 614.15 = 270.46 : x
  2. Step 2: Convert to fraction form
    444.81/614.15 = 270.46/x
  3. Step 3: Cross multiply
    444.81x = 614.15 × 270.46
  4. Step 4: Simplify right side
    444.81x = 166,103.01
  5. Step 5: Solve for x
    x = 166,103.01/444.81
  6. Step 6: Final answer
    x = 373.42

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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.