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Finding the Fourth Proportional to 438.29, 604.14 and 298.36

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Solution

The fourth proportional to 438.29, 604.14 and 298.36 is: 411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.29 : 604.14 = 298.36 : x
  2. Step 2: Convert to fraction form
    438.29/604.14 = 298.36/x
  3. Step 3: Cross multiply
    438.29x = 604.14 × 298.36
  4. Step 4: Simplify right side
    438.29x = 180,251.21
  5. Step 5: Solve for x
    x = 180,251.21/438.29
  6. Step 6: Final answer
    x = 411.26

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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.