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Finding the Fourth Proportional to 438.35, 604.01 and 298.22

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Solution

The fourth proportional to 438.35, 604.01 and 298.22 is: 410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.35 : 604.01 = 298.22 : x
  2. Step 2: Convert to fraction form
    438.35/604.01 = 298.22/x
  3. Step 3: Cross multiply
    438.35x = 604.01 × 298.22
  4. Step 4: Simplify right side
    438.35x = 180,128.63
  5. Step 5: Solve for x
    x = 180,128.63/438.35
  6. Step 6: Final answer
    x = 410.93

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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.