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Finding the Fourth Proportional to 438.61, 604.96 and 305.83

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Solution

The fourth proportional to 438.61, 604.96 and 305.83 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.61 : 604.96 = 305.83 : x
  2. Step 2: Convert to fraction form
    438.61/604.96 = 305.83/x
  3. Step 3: Cross multiply
    438.61x = 604.96 × 305.83
  4. Step 4: Simplify right side
    438.61x = 185,014.92
  5. Step 5: Solve for x
    x = 185,014.92/438.61
  6. Step 6: Final answer
    x = 421.82

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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.