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Finding the Fourth Proportional to 438.18, 604.48 and 290.86

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Solution

The fourth proportional to 438.18, 604.48 and 290.86 is: 401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.18 : 604.48 = 290.86 : x
  2. Step 2: Convert to fraction form
    438.18/604.48 = 290.86/x
  3. Step 3: Cross multiply
    438.18x = 604.48 × 290.86
  4. Step 4: Simplify right side
    438.18x = 175,819.05
  5. Step 5: Solve for x
    x = 175,819.05/438.18
  6. Step 6: Final answer
    x = 401.25

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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.