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Finding the Fourth Proportional to 305.57, 456.23 and 287.04

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Solution

The fourth proportional to 305.57, 456.23 and 287.04 is: 428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.57 : 456.23 = 287.04 : x
  2. Step 2: Convert to fraction form
    305.57/456.23 = 287.04/x
  3. Step 3: Cross multiply
    305.57x = 456.23 × 287.04
  4. Step 4: Simplify right side
    305.57x = 130,958.69
  5. Step 5: Solve for x
    x = 130,958.69/305.57
  6. Step 6: Final answer
    x = 428.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.