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Finding the Fourth Proportional to 438.16, 604.92 and 290.92

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Solution

The fourth proportional to 438.16, 604.92 and 290.92 is: 401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.16 : 604.92 = 290.92 : x
  2. Step 2: Convert to fraction form
    438.16/604.92 = 290.92/x
  3. Step 3: Cross multiply
    438.16x = 604.92 × 290.92
  4. Step 4: Simplify right side
    438.16x = 175,983.33
  5. Step 5: Solve for x
    x = 175,983.33/438.16
  6. Step 6: Final answer
    x = 401.64

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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.