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Finding the Fourth Proportional to 317.67, 435.59 and 286.46

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Solution

The fourth proportional to 317.67, 435.59 and 286.46 is: 392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.67 : 435.59 = 286.46 : x
  2. Step 2: Convert to fraction form
    317.67/435.59 = 286.46/x
  3. Step 3: Cross multiply
    317.67x = 435.59 × 286.46
  4. Step 4: Simplify right side
    317.67x = 124,777.68
  5. Step 5: Solve for x
    x = 124,777.68/317.67
  6. Step 6: Final answer
    x = 392.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.