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Finding the Fourth Proportional to 438.16, 604.56 and 290.56

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Solution

The fourth proportional to 438.16, 604.56 and 290.56 is: 400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.16 : 604.56 = 290.56 : x
  2. Step 2: Convert to fraction form
    438.16/604.56 = 290.56/x
  3. Step 3: Cross multiply
    438.16x = 604.56 × 290.56
  4. Step 4: Simplify right side
    438.16x = 175,660.95
  5. Step 5: Solve for x
    x = 175,660.95/438.16
  6. Step 6: Final answer
    x = 400.91

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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.