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Finding the Fourth Proportional to 317.82, 477.45 and 308.46

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Solution

The fourth proportional to 317.82, 477.45 and 308.46 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.82 : 477.45 = 308.46 : x
  2. Step 2: Convert to fraction form
    317.82/477.45 = 308.46/x
  3. Step 3: Cross multiply
    317.82x = 477.45 × 308.46
  4. Step 4: Simplify right side
    317.82x = 147,274.23
  5. Step 5: Solve for x
    x = 147,274.23/317.82
  6. Step 6: Final answer
    x = 463.39

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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.