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Finding the Fourth Proportional to 402.82, 605.31 and 307.78

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Solution

The fourth proportional to 402.82, 605.31 and 307.78 is: 462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 605.31 = 307.78 : x
  2. Step 2: Convert to fraction form
    402.82/605.31 = 307.78/x
  3. Step 3: Cross multiply
    402.82x = 605.31 × 307.78
  4. Step 4: Simplify right side
    402.82x = 186,302.31
  5. Step 5: Solve for x
    x = 186,302.31/402.82
  6. Step 6: Final answer
    x = 462.50

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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.