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Finding the Fourth Proportional to 317.60, 478.82 and 286.28

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Solution

The fourth proportional to 317.60, 478.82 and 286.28 is: 431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.60 : 478.82 = 286.28 : x
  2. Step 2: Convert to fraction form
    317.60/478.82 = 286.28/x
  3. Step 3: Cross multiply
    317.60x = 478.82 × 286.28
  4. Step 4: Simplify right side
    317.60x = 137,076.59
  5. Step 5: Solve for x
    x = 137,076.59/317.60
  6. Step 6: Final answer
    x = 431.60

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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.