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Finding the Fourth Proportional to 402.76, 604.80 and 305.28

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Solution

The fourth proportional to 402.76, 604.80 and 305.28 is: 458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.76 : 604.80 = 305.28 : x
  2. Step 2: Convert to fraction form
    402.76/604.80 = 305.28/x
  3. Step 3: Cross multiply
    402.76x = 604.80 × 305.28
  4. Step 4: Simplify right side
    402.76x = 184,633.34
  5. Step 5: Solve for x
    x = 184,633.34/402.76
  6. Step 6: Final answer
    x = 458.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.