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Finding the Fourth Proportional to 336.80, 463.98 and 322.64

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Solution

The fourth proportional to 336.80, 463.98 and 322.64 is: 444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 463.98 = 322.64 : x
  2. Step 2: Convert to fraction form
    336.80/463.98 = 322.64/x
  3. Step 3: Cross multiply
    336.80x = 463.98 × 322.64
  4. Step 4: Simplify right side
    336.80x = 149,698.51
  5. Step 5: Solve for x
    x = 149,698.51/336.80
  6. Step 6: Final answer
    x = 444.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.