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Finding the Fourth Proportional to 322.77, 481.47 and 286.32

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Solution

The fourth proportional to 322.77, 481.47 and 286.32 is: 427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.77 : 481.47 = 286.32 : x
  2. Step 2: Convert to fraction form
    322.77/481.47 = 286.32/x
  3. Step 3: Cross multiply
    322.77x = 481.47 × 286.32
  4. Step 4: Simplify right side
    322.77x = 137,854.49
  5. Step 5: Solve for x
    x = 137,854.49/322.77
  6. Step 6: Final answer
    x = 427.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.