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Finding the Fourth Proportional to 317.30, 477.85 and 283.36

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Solution

The fourth proportional to 317.30, 477.85 and 283.36 is: 426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.30 : 477.85 = 283.36 : x
  2. Step 2: Convert to fraction form
    317.30/477.85 = 283.36/x
  3. Step 3: Cross multiply
    317.30x = 477.85 × 283.36
  4. Step 4: Simplify right side
    317.30x = 135,403.58
  5. Step 5: Solve for x
    x = 135,403.58/317.30
  6. Step 6: Final answer
    x = 426.74

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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.