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Finding the Fourth Proportional to 438.97, 606.28 and 298.85

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Solution

The fourth proportional to 438.97, 606.28 and 298.85 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.97 : 606.28 = 298.85 : x
  2. Step 2: Convert to fraction form
    438.97/606.28 = 298.85/x
  3. Step 3: Cross multiply
    438.97x = 606.28 × 298.85
  4. Step 4: Simplify right side
    438.97x = 181,186.78
  5. Step 5: Solve for x
    x = 181,186.78/438.97
  6. Step 6: Final answer
    x = 412.75

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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.