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Finding the Fourth Proportional to 438.36, 604.92 and 283.11

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Solution

The fourth proportional to 438.36, 604.92 and 283.11 is: 390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.36 : 604.92 = 283.11 : x
  2. Step 2: Convert to fraction form
    438.36/604.92 = 283.11/x
  3. Step 3: Cross multiply
    438.36x = 604.92 × 283.11
  4. Step 4: Simplify right side
    438.36x = 171,258.90
  5. Step 5: Solve for x
    x = 171,258.90/438.36
  6. Step 6: Final answer
    x = 390.68

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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.