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Finding the Fourth Proportional to 322.13, 479.77 and 313.47

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Solution

The fourth proportional to 322.13, 479.77 and 313.47 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 479.77 = 313.47 : x
  2. Step 2: Convert to fraction form
    322.13/479.77 = 313.47/x
  3. Step 3: Cross multiply
    322.13x = 479.77 × 313.47
  4. Step 4: Simplify right side
    322.13x = 150,394.48
  5. Step 5: Solve for x
    x = 150,394.48/322.13
  6. Step 6: Final answer
    x = 466.88

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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.