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Finding the Fourth Proportional to 438.08, 604.24 and 290.64

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Solution

The fourth proportional to 438.08, 604.24 and 290.64 is: 400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.08 : 604.24 = 290.64 : x
  2. Step 2: Convert to fraction form
    438.08/604.24 = 290.64/x
  3. Step 3: Cross multiply
    438.08x = 604.24 × 290.64
  4. Step 4: Simplify right side
    438.08x = 175,616.31
  5. Step 5: Solve for x
    x = 175,616.31/438.08
  6. Step 6: Final answer
    x = 400.88

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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.