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Finding the Fourth Proportional to 437.73, 604.29 and 305.07

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Solution

The fourth proportional to 437.73, 604.29 and 305.07 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.73 : 604.29 = 305.07 : x
  2. Step 2: Convert to fraction form
    437.73/604.29 = 305.07/x
  3. Step 3: Cross multiply
    437.73x = 604.29 × 305.07
  4. Step 4: Simplify right side
    437.73x = 184,347.05
  5. Step 5: Solve for x
    x = 184,347.05/437.73
  6. Step 6: Final answer
    x = 421.14

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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.