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Finding the Fourth Proportional to 438.36, 604.59 and 289.23

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Solution

The fourth proportional to 438.36, 604.59 and 289.23 is: 398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.36 : 604.59 = 289.23 : x
  2. Step 2: Convert to fraction form
    438.36/604.59 = 289.23/x
  3. Step 3: Cross multiply
    438.36x = 604.59 × 289.23
  4. Step 4: Simplify right side
    438.36x = 174,865.57
  5. Step 5: Solve for x
    x = 174,865.57/438.36
  6. Step 6: Final answer
    x = 398.91

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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.