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Finding the Fourth Proportional to 307.82, 464.13 and 282.30

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Solution

The fourth proportional to 307.82, 464.13 and 282.30 is: 425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 464.13 = 282.30 : x
  2. Step 2: Convert to fraction form
    307.82/464.13 = 282.30/x
  3. Step 3: Cross multiply
    307.82x = 464.13 × 282.30
  4. Step 4: Simplify right side
    307.82x = 131,023.90
  5. Step 5: Solve for x
    x = 131,023.90/307.82
  6. Step 6: Final answer
    x = 425.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.